{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "43c60b9b-ea2e-4102-8656-dd39b06bf48e",
   "metadata": {},
   "source": [
    "# 机器学习初步 - 梯度下降"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "61e0fb5f-e6fc-40fc-8a46-4e3084d410df",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "# 指定默认字体  \n",
    "matplotlib.rcParams['font.family']='sans-serif'  \n",
    "matplotlib.rcParams['font.sans-serif'] = ['SimHei']   \n",
    "#解决负号'-'显示为方块的问题  \n",
    "matplotlib.rcParams['axes.unicode_minus'] = False "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "46709a26-3f41-4836-b462-75d3d6808110",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "data = pd.read_csv(\"Salary_Data.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9f6a69d9-0ae5-4515-8993-f8a6e892475b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>YearsExperience</th>\n",
       "      <th>Salary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.3</td>\n",
       "      <td>9.050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.6</td>\n",
       "      <td>9.150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.8</td>\n",
       "      <td>10.700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.1</td>\n",
       "      <td>9.825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.3</td>\n",
       "      <td>11.550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.5</td>\n",
       "      <td>9.425</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2.0</td>\n",
       "      <td>10.875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2.2</td>\n",
       "      <td>9.950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2.9</td>\n",
       "      <td>14.150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>3.0</td>\n",
       "      <td>15.025</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>3.2</td>\n",
       "      <td>13.600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>3.2</td>\n",
       "      <td>16.100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>3.7</td>\n",
       "      <td>14.275</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>3.9</td>\n",
       "      <td>15.800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>4.0</td>\n",
       "      <td>13.925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>4.0</td>\n",
       "      <td>14.225</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>4.1</td>\n",
       "      <td>14.250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>4.5</td>\n",
       "      <td>15.275</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>4.9</td>\n",
       "      <td>16.975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>5.1</td>\n",
       "      <td>16.500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>5.3</td>\n",
       "      <td>20.750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>5.9</td>\n",
       "      <td>20.325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>6.0</td>\n",
       "      <td>23.475</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>6.8</td>\n",
       "      <td>22.925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>7.1</td>\n",
       "      <td>24.550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>7.9</td>\n",
       "      <td>25.325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>8.2</td>\n",
       "      <td>28.450</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>8.7</td>\n",
       "      <td>27.350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>9.0</td>\n",
       "      <td>26.375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>9.5</td>\n",
       "      <td>29.225</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>9.6</td>\n",
       "      <td>28.150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>10.3</td>\n",
       "      <td>30.575</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>10.5</td>\n",
       "      <td>30.450</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    YearsExperience  Salary\n",
       "0               0.3   9.050\n",
       "1               0.6   9.150\n",
       "2               0.8  10.700\n",
       "3               1.1   9.825\n",
       "4               1.3  11.550\n",
       "5               1.5   9.425\n",
       "6               2.0  10.875\n",
       "7               2.2   9.950\n",
       "8               2.9  14.150\n",
       "9               3.0  15.025\n",
       "10              3.2  13.600\n",
       "11              3.2  16.100\n",
       "12              3.7  14.275\n",
       "13              3.9  15.800\n",
       "14              4.0  13.925\n",
       "15              4.0  14.225\n",
       "16              4.1  14.250\n",
       "17              4.5  15.275\n",
       "18              4.9  16.975\n",
       "19              5.1  16.500\n",
       "20              5.3  20.750\n",
       "21              5.9  20.325\n",
       "22              6.0  23.475\n",
       "23              6.8  22.925\n",
       "24              7.1  24.550\n",
       "25              7.9  25.325\n",
       "26              8.2  28.450\n",
       "27              8.7  27.350\n",
       "28              9.0  26.375\n",
       "29              9.5  29.225\n",
       "30              9.6  28.150\n",
       "31             10.3  30.575\n",
       "32             10.5  30.450"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "acbbf845-8fa3-4d91-a930-451a610dc173",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method NDFrame.describe of     YearsExperience  Salary\n",
       "0               0.3   9.050\n",
       "1               0.6   9.150\n",
       "2               0.8  10.700\n",
       "3               1.1   9.825\n",
       "4               1.3  11.550\n",
       "5               1.5   9.425\n",
       "6               2.0  10.875\n",
       "7               2.2   9.950\n",
       "8               2.9  14.150\n",
       "9               3.0  15.025\n",
       "10              3.2  13.600\n",
       "11              3.2  16.100\n",
       "12              3.7  14.275\n",
       "13              3.9  15.800\n",
       "14              4.0  13.925\n",
       "15              4.0  14.225\n",
       "16              4.1  14.250\n",
       "17              4.5  15.275\n",
       "18              4.9  16.975\n",
       "19              5.1  16.500\n",
       "20              5.3  20.750\n",
       "21              5.9  20.325\n",
       "22              6.0  23.475\n",
       "23              6.8  22.925\n",
       "24              7.1  24.550\n",
       "25              7.9  25.325\n",
       "26              8.2  28.450\n",
       "27              8.7  27.350\n",
       "28              9.0  26.375\n",
       "29              9.5  29.225\n",
       "30              9.6  28.150\n",
       "31             10.3  30.575\n",
       "32             10.5  30.450>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.describe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "3c0d5668-c176-42d2-97f3-9bbc61bacab2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ae1515f230>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "\n",
    "from matplotlib.font_manager import fontManager\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "\n",
    "\n",
    "x = data[\"YearsExperience\"]\n",
    "y = data[\"Salary\"]\n",
    "plt.scatter(x, y, marker=\"x\", color=\"red\")    #散点\n",
    "plt.plot(x, y, marker=\"x\", color=\"red\")     #折线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "9695a0af-d41d-4ed2-973e-41f9b109619f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "\n",
    "from matplotlib.font_manager import fontManager\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "\n",
    "x = data[\"YearsExperience\"]\n",
    "y = data[\"Salary\"]\n",
    "\n",
    "plt.plot(x, y, marker=\"x\", color=\"red\")\n",
    "plt.scatter(x, y, marker=\"x\", color=\"red\")\n",
    "plt.title(\"工作年限-工资\")\n",
    "plt.xlabel(\"年限\")\n",
    "plt.ylabel(\"收入（千元）\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "b0e79c32-d3c0-4231-a947-279ffb01fb64",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "matplotlib.rcParams['axes.unicode_minus'] = False \n",
    "\n",
    "def plot_pred(w, b):\n",
    "  y_pred = x*w + b\n",
    "  plt.plot(x, y_pred, color=\"blue\", label=\"预测\")\n",
    "  plt.scatter(x, y, marker=\"x\", color=\"red\", label=\"真实数据\")\n",
    "  plt.title(\"工作年限-工资\")\n",
    "  plt.xlabel(\"年限\")\n",
    "  plt.ylabel(\"工资（千）\")\n",
    "  plt.xlim([0, 12])\n",
    "  plt.ylim([-60, 140])\n",
    "  plt.legend()\n",
    "  plt.show()\n",
    "\n",
    "plot_pred(2.5, 5.8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "527f8b3c-08f7-4b85-ba87-ab7c7865ce66",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8bd4b113fcb84f8293bcbee93b0daf34",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=0, description='w', min=-100), IntSlider(value=0, description='b', min=-…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.plot_pred(w, b)>"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ipywidgets import interact\n",
    "\n",
    "interact(plot_pred, w=(-100, 100, 1), b=(-100, 100, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5235fa30-6780-4abd-9331-24ddc67cd0c4",
   "metadata": {},
   "source": [
    "## 损失函数 Cost Fuction\n",
    "## 预期的所有的Y和原来的Y的差的平方和，我们称之为一种线性的代价函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "id": "ed094b58-1e80-4bfc-b929-03ca38c4afac",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_cost(x,y,w,b):\n",
    "    y_predict = w*x + b \n",
    "    cost = (y - y_predict)**2\n",
    "    cost.sum()/len(x)\n",
    "    \n",
    "    return cost\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "id": "3af7f278-8b83-4bbe-8a85-e7c0bfd8c370",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_cost(x, y, w, b):\n",
    "  y_pred = w*x + b\n",
    "  cost = (y - y_pred)**2\n",
    "  cost = cost.sum() / len(x)\n",
    "\n",
    "  return cost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "id": "7df3f4d5-038e-4a2b-bd1c-2bff78b3cf93",
   "metadata": {},
   "outputs": [],
   "source": [
    "costs = []\n",
    "for w in range(-100, 101):\n",
    "  cost = compute_cost(x, y, w, 0)\n",
    "  costs.append(cost)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "id": "23a92f69-e736-47c7-bfef-bb92b060afd7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(range(-100, 101), costs)\n",
    "plt.title(\"cost function b=0 w=-100~100\")\n",
    "plt.xlabel(\"w\")\n",
    "plt.ylabel(\"cost\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "id": "4522652c-2e42-4036-808a-9ff93d67b42e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "ws = np.arange(-100, 101)\n",
    "bs = np.arange(-100, 101)\n",
    "costs = np.zeros((201, 201))\n",
    "\n",
    "i = 0\n",
    "for w in ws: \n",
    "  j = 0\n",
    "  for b in bs: \n",
    "    cost = compute_cost(x, y, w, b)\n",
    "    costs[i,j] = cost\n",
    "    j = j+1\n",
    "  i = i+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "id": "cc3db288-029a-4607-a259-f3ecdb1e45ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(201, 201)"
      ]
     },
     "execution_count": 198,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "costs.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "id": "eada8f53-0440-4992-af1b-c716af1cf0ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ly5axdOlSGhsbp3i3EolEUh1IASSRvEaJx+Ncd911fP/730dRFDRNKwif4RiGgW3bACxcuJDly5ezdOlSzj//fOrr64/2tiUSiaQqkAJIInkN8vLLL7NixQp27NiB53kAqKpa+P9DkRdEiqJw0kkn8Za3vIVly5axZMkSampqJnnnEolEUh1IASSRvIYQQvCf//mfrFy5EiEErutOeM18ykxRFNra2gqC6NxzzyUSiVRg1xKJRFJ9SAEkkbxG6Onp4corr+SRRx4pextFUZjoR3rJkiWEw2Eee+wxTj311BGCKBgMTmhtiUQiqRakAJJIXgM899xzXHLJJXR3dx8y6jPcAH2kvP/976e5uZn/+I//GLGmpmmcccYZXHTRRSxbtoyzzz4bv98/oXNJJBLJVCHL4CWSKsZxHL7whS+wbNkyurq6Dpvy0jRtwuf0PA9FUUbsAcB1XV544QXuuOMOLrroIiKRCOeccw633XYbzz77LKlUasLnlkgkkqOFPtUbkEgkpdm9ezfXXnstGzZsQAgxptRWJQSQEGKEABpNXhA5jsOqVat44YUXuP322zFNkze96U2FCNEb3/hGTNOc8H4kEolkMpARIImkCnn44YdZtGgRNTU1vO1tbxvz/SoVAVLVsX01DDdiZzIZ/vCHP/DFL36R8847j2g0ykUXXcRXvvIVVq1aVSjFl0gkkmpARoAkkioimUyycuVK7r33XhRFwXGcMYsRYFy3LcfhIkCHu29eEKVSKZ555hmeffZZXNfF7/dz3nnnceGFF7Js2TJOO+00dF1+BUkkkqlBfvtIJFXChg0bWLFiBZs3bwYOionxRHUqlQKrhJACRvQlSiaTPPXUUzz11FN4nkcwGOT888/nwgsvZOnSpSxevLgi+5dIJJKxIAWQRDLFCCH47ne/y/XXX4/jOCNEw3jSUVCZCNBoE3QlGf7Y4vE4jz/+OI8//jie5xEOh1m2bBkXXHABy5Yt45RTTqmYEJNIJJLRyG8XiWQK6e/v5+KLL+bqq68mnU4XVXlNVQRosgTQaDzPK4iiWCzG3/72Nzo7O1m8eDF1dXX8wz/8A/fccw/r16+fcH8jiUQiGY6MAEkkU8Sf/vQn3v/+9x9yavt4I0CVEC6VTIGNF8MwWLhwIQADAwP86le/4uGHH0YIQV1dHRdeeGEhQnT88ccfNaEmkUhef0gBJJEcZVzX5atf/Spf+MIXUBTlkL19xiuAjnYV2GQwXNQMf256e3v5xS9+wc9//nOEEDQ2Nha6VC9btox58+ZJQSSRSMaMFEASyVGkvb2dyy67jN///vdjur3neeMSNdXuAZoowwVRV1cXDz74IPfffz8Azc3NIwTRnDlzpmiXEonktYAUQBLJUeLRRx/l8ssvJxaLjfk+ruu+psrgK3Hu8TB87EdHRwc/+clP+OEPfwjA9OnTWb58eUEQzZgxo6J7lUgkr22kCVoimWTS6TSf+cxneOc738nAwMC4JrhPVQSoWlJg42W4INq3bx8//OEPueKKK5g5cyZz5szh4x//OPfffz/79++vxFYlEslrGBkBkkgmkS1btrBixQrWr18PjD/CISNAE2O4INq1axf/+7//y3//938DMG/evEKEaOnSpTQ1NVX03BKJpLqRESCJZBIQQvCDH/yAxYsXs2HDhhH9b8bDVPQBmsoqMKhMJVs5hguiV199le9973tccsklTJs2jYULF3Ldddfx0EMP0dPTM2l7kEgk1YGMAEkkFSYWi3H11Vfzk5/8ZMJrTUUEqJpN0JVm+HyyLVu2MH/+fLZt28aKFSs46aSTCqbqJUuWUFtbO4U7lUgklUYKIImkgqxevZrPfe5z4zI6H4qp8ABNZQoMJjcCdDiam5sL59+wYQNbtmzh7rvvRlEUFi1aVBBE5513HpFIZMr2KZFIJo5MgUkkFcDzPL7+9a/z5je/mdbWVs4+++yKrDveCNBrvRHiVHd7VhRlxB7yKTMhBK+88gp3330373znO6mtreUNb3gDN998M48//jhDQ0NTtWWJRHKEyAiQRDJBDhw4wIc+9CGefPJJIJtWqdRQT9kH6OgyWgCNJi+IPM/jpZdeYu3atfzbv/0bmqbxhje8oRAhOvvsswkEAkdr2xKJ5AiQAkgimQBPPvkkl112Gf39/YW/jXd+16GYKhP066UKbLL3kBdEruvy4osv8tJLL/GVr3wFXdc588wzueiii1i2bBlvfvOb8fl8k7VliURyBMgUmERyBNi2zc0338zy5cvp6+sb0dunkgJovGtVQri8lvsAVeLcExFheUHkOA6rVq3iK1/5ChdccAGRSIQlS5Zw++2384c//IF0Ol2pLUskkiNERoAkknGyY8cOLr74Yv72t78BFJW4u66Lrlfmo1XJCJAflSSHL8ef6gjQVAugSpIXxrZt8/zzz/OnP/2J2267DcuyOOeccwqDXc8880wMw6jouSUSyaGRESCJZBw88MADLFq0iJdffrlspKCSEZTxeoAOdQE/j1bOogmNQ1/kp7oP0FQzWWk4IURBEKXTaZ555hluu+02zjnnHCKRCMuXL+eOO+7gL3/5y4h+RRKJZHKQESCJZAzE43Guu+46vv/974/JKFvJFFglqsAUoJUgswkzmzC/p50OkiVvK03QR8eHNFwQpVIpfve735HJZHjkkUf429/+xvnnn1+IEJ166qkVe09JJJIsUgBJJIfh5ZdfZsWKFezYsQM4fISgGlNgNVjoqPgxMNB4B3NYTy8v0onLyMcjy+CnZg+e53H88ceTyWR4/vnn+e1vf8tvf/tbPM8jHA6zdOnSgiBatGjRMR2lk0gqgRRAEkkZhBDcc889fPazn0UIMeZxFuON2hyNteqwUHOpLx0VDYU26plBkD+wjwMcNOVOdQToWI0+Qfax599nw99vsViM//u//+PRRx/F8zyi0SgXXHABF1xwAUuXLuXkk08+pp83ieRIkAJIIilBT08PV155JY888si471vpCFAlPED1+AoCCEBBwYdOFIszmEa3kuKvogsHUVEBN16O5QgQZCN45c4/vNJwYGCAX//61/zyl79ECEFtbS0XXnhhIUK0cOFCKYgkksMgBZBEMornnnuOSy65hO7u7iO6fyUFRKVSYKMFUOH2KAQVg1Y1yDwiPOe24zjOEQ9vrQRTHX2aagE0nkhjnr6+Ph5++GEeeughhBA0NjYWehAtW7aM+fPnS0EkkYxCCiCJJIfjONx+++18+ctfHpGKGC/V2AdoeApsOB4Cv6oTUAx86LxLn0NPn8lQ/+AR7/m1zFSLhPEIoNEMF0RdXV387Gc/KwzknTZtWqFL9bJly5g7d25F9iuRvJaRAkgiAXbv3s2ll17Kn//8Z4QQE4oCTKUJuhQBdHzoRQLIQ+DgYSkaKqApKrpQqElYWP+3nhb87C9TKfZ6ZiojQBMR3qMZXkp/4MABHnjgAX70ox8B0NrayvLlywuCaObMmRU5p0TyWkKWEUiOeR5++GEuu+wyNm/eXJGLX6VN0BONANUfIvqTwkFFKdxPURR8qo4/5fFmrZmz9WkYh+kbVEmkB6i8B2iiDBdE7e3t/OhHP+LDH/4ws2bNYvbs2Vx11VX8+Mc/pr29fVLOL5FUG1IASY5Zkskkn/jEJ3jf+97H5ZdfzvTp0yuy7lRGgEoLoNL+Hw+Bo4iSx3RFRVcUFul1fMC3gFlKcHwbnwBT7QGaSiaSAhsvwwXR7t27+cEPfsB1113Hhz70IebNm8c111zDT3/6Uw4cOHBU9iORHG2kAJIck2zYsIHTTz+d73znO0D2YlAp0VLpYagTjwCVF0CqojB6dSEELgJVVQgoOg2Kn3f55nCB0Yo1yV8ZUz0KI7+HqaKSKbDx4jgO06ZN49JLL2XHjh1873vf49JLL6W5uZmFCxfyqU99ioceeuiIiwMkkmpDeoAkxxRCCL773e9y/fXXj6h2qmTUptImaJhYZKDhEALIUtSSx1zhYeSO6YpKUGSjQbO0EM9m2tnpDR3RXqqdqU6BaZo2pRV4uq4Xzj88QrRlyxZeffVV7rnnHgBOPPHEgqn6/PPPp7a2dkr2K5FMBCmAJMcM/f39XHXVVTz00ENFx2zbrphoqeQojPzFaCwC6JxzzuGKK67gtNNO45VXXmHNmjXE+wcIYhbFbUTOAB1QjGJztOfhCUFIMQpzwxQl2zdIR2WZ2cqrYoA/pztJM7WenUoz1dGnqYwAQfZ9Vm4O2fC/b9y4kW3btvEf//EfKIrCKaecUhBE5513HtFo9GhtWSI5YqQAkhwT/OlPf+L9738/HR0dJY9XW+XW8LXg0FPeDcPgox/9KOeeey4vvPAC/f39vOMd7+Caa65h+x9fwnn4JUQizeBgrBBRcnMGaB9a0UXfQ4DfQFWUomMqCipwslnLCVYtTyfa2epUrmR+qk3QU72HyTRBjwVN00aU0x8K27aB7PO1du1aNm7cyDe+8Q1UVWXx4sWFPkTnnnsu4XB4MrctkRwRUgBJXte4rssdd9zB5z//eYCyv64rnQKr5FpQXgC1tLRw4403Yts2N9xwAyeccAK///3vAQgEAlw47UTeqDQwbfp05s/3k0gkGBwcpGewj+5EqnT6C4HiM0pOjXcRZPCoVS1MReVdwVlsyQzwu2Q7ScZ24TwcU22CPlY9QDCxFFw+QuR5Hi+99BJr167la1/7GqqqcvrppxcE0TnnnEMgEKjktiWSI0IKIMnrlvb2dj7wgQ/w3HPPHfa2lTRBT0YKrNR655xzDtdeey1PPfUUP/zhD3EchxNOOKFwPJFIMLBjP+2k6dq7H8MwiETCRCIRWmfMYGbziXgd/WTiSWKDg8TjcTwhcIWHqpX2BnkIPCVrntYVlSAKJ1m1zDBCPJvczya7f0KPd6ojQFOdAnstRYAOx3BB9OKLL/LSSy/xr//6r+i6zplnnslFF13E0qVLefOb34zf76/IOSWS8SAFkOR1yaOPPsrll19OLBYb0+0rLVomwwSdZ3jK6+677+Yvf/lL2ftnK8Cy2LZNT08vPT29JHBwd6rMizZRF4nS1NSEqqoMDQ3RNdSPIkTJCJCHQFOVUd4gDUNVuNDfQrPm48VUF/EJRIOmWoRMdQqsUgKk2s6fF0SO47Bq1SpefPFFvvSlL2EYBmeddVYhQnTWWWdhWdak7EEiGY4UQJLXFel0mptvvpm77757XOmMSkeAKukngoMRoNEpr87OzhG3Hy4eVCBKsclZIHDx0DKC3q5u+rp7AAj4/YTCYayghWF7vOG0U0nE4gzGYgwODpJKpXARBNTirtKaomKhMscKc5K/lueTHbyS6qvIc3A0meoU2NHsA1QKXdePmgDLCyLbtvnjH//IqlWr+Od//mfq6+t54xvfyDnnnMOyZcs444wzME3zqOxJcmwhBZDkdcOWLVtYsWIF69evB8b3S36yfDsTvZgNN0GXSnkdinos4jhY6JjZfs/ZNXMG6AjmCMGUSCaJJRKk/Qqn1oTYvmMPkUiE2toaZs6cScbOsGegGzs5BIk0Ts4EC7neQYpCnWYRVHX+LjSTE8wafju0lwHPLtpbtVINAmiqU2BTIcCEEIXPzdvf/nb8fj+33XYbt956Kz6fj3PPPZcLL7yQZcuWcfrpp1fssyo5tpHvIsnrgvvuu4+rr74a27aP6At8snw7E72YCCHwPI8rrriC008/nbvuuosXX3xxTPedHgzQEjHp7E4Rsk1MNHRUPMBWvLIen4wi0BWVeDxOPB5n//79qKqCFQjg1vmZ3thIS0096XSawcFBYoOD9A4OkMgkqVUtDFVDFyrHmVFaa4L8IbGfv6Z6xvx4j2Wm2gR9qDL4o4Wu69i2XRBEqVSK3/3udzz99NN4nkcgEGDJkiUFQXTqqadW7LMrObaQAkjymiYWi3HNNddw//33T2idSqfAICuAbHti0Y+WlhYURWHWrFmsXLmSrq6uMd93hhWk0bKob7XYPZhgqM/Fl//IK5T1+HgK6KOqzjxP0B8bpDPWQdoM0GHsJhwOEwlHaG1tpXXOLKaRRvT04yXSxGIxLC9rlF4abKHF8PPHeCd9Xuaw+z6Wq8CqIQI0lR4kyAqgdDo94m/DBxQnEgmeeOIJnnjiCTzPIxQKcf755xcEUVtbW8XaUEhe30gBJHnNsnr1alasWMGePXsmvNZkpMAm+qs0n/JyXZc777xzXOIHoNnyY6kaGgrza0LEAhl2dCdR09nYT7kIkIaCrhTv3UOgKQqqouC5LgP9/Qz09wNgawpOjZ8F0TqaZk3DNE3i8TiDsUG6+vvo6k/x4foF/CXRzZ/jnZSLcQghpvTiVQ0C6LVaBl8pDMMgHo8f8jbD9zg0NMRjjz3GY489hud5RCIRLrjgAi644AKWLVvGySefPOXGekl1IgWQ5DWH53nceeed3HLLLYUU0USpZApsogJoeJXXXXfdxcqVK8d9UVaAaYa/MOndp2joloU1TWPb4BDukCAt3Gxjw2EXBxeBhYauFYsQD4FP00pGjjJ2hsHuOHsHEhzY045pmkQiEcLhMDNmzWL64hNQuvuZFxvkjYM9/HTfRvZnEuN+biabqb5QVoMAmuoIkKZp407DDX/OBgcH+c1vfsOvfvUrhBDU1taOEEQnnHDClL/OkupACiDJa4oDBw7woQ99iJaWFt73vvfx4IMPVmTdSg9DhSMTQMOrvPIpryMpq28wfJiKOkLc6IpKQNOoD5pMi8CBngykwRQahqLiCUEGl6Aw0UZFgIQQOMIjqJaoKhMCDwipB5snZjIZuru76e7uJubaaEGDuXWNtNTUMqulhTPnn8COIDw7uJ8NmzfR3t4+7udqsjiWGyFOdRk+HPQATYThj6Gvr49f/vKX/OIXv0AIQUNDQ6HkftmyZSxYsEAKomMUKYAkrxmefPJJLrvsMvr7+7nyyisranx0XbdipbaHal54KM455xw++clP8uSTT46o8nJdd8xpofzFu8X0jxA/hb2RjeTUmT7qW3zsH0ox2Jsm4BloQiGtOoWo0XBcBEkcgiVHZ0BCOEQUs+icnhDYwkXPQE9nJ71dXYCCz+8nEvDx1miY93zsapz6KNu3b2f37t1je7ImiWM9BXY0y+APtYdKG7GHP6bu7m5+/vOf88ADDwDQ1NTE8uXLWbp0KcuWLWPu3LlSEB0jSAEkqXps2+bWW2/la1/7WuEXsm3bFW2WZtt2RbvRjielNjzldeeddxZVeR3JbLEW049W4kvcFdlOzoai4dc0zIjKUMDh1a44SkIjLbwywkmUrRxz8Ujjlj4fgriwRwknQSqZwEkM0b4/QWDHNnpCFrHjZ3LGmWcghOC//uu/WLt2LWvWrGHdunUMDAyM6/EfKVN94ZMm6KMjwoYLrM7OTh544AF+9KMfAdko7PLlywsRolmzZk3qXiRThxRAkqpmx44dXHzxxfztb38bUQniOA6hUKhi56mkCTq/3lgEUKmU12iOSABZ/rKzvAxVLYgVS9XQDZWTmlV2xuL093mkXAdXeCgK5K/FHgJVpaTI8YRAKKK0qVoI3Jx5utQxTxGEVYNoUtC7eisPr3qRmV/7Ct/5zndYvHgx//AP/8DKlSvZs2cPr7zyCmvXrmXdunUkk8lxPR/j4ViOAFVLCuxol+IPP9/+/fvZvXs3jz76KFdeeSUzZ84sCKKlS5cyffr0o7o3yeQhBZCkannggQe46qqrSKVSRRelSnp2YGoEUD7l9cQTT/CjH/2o7Jf+WMUUHEy/tZiBsqIjpOsjjmmKQlAzmBbwYfkUkimXQSdNWngYIpsOcxH4SnSAhpyoUtSyESBVUcqKMZErufepWR/S+/wBrBfWsXnNWl566SUAwuEwp5xyCm1tbVx55ZU0NzezdetW1q5dyyuvvMKmTZsm7BnJc6ynwKqhCmwqBNBoGhsbmTZtGgB79uzhBz/4Ad/73vcAmDNnzghB1NzcPJVblUwAKYAkVUc8Hue6667j+9//ftkLkm3bFRUstm1X3FNUbn+HS3mNZjwRICEEdbqFpWhFqSxXeCQ9l7ChF4mVbDQGpvl8+CMmjbMs+temCTo6lqfiIgiqepGQyRugg2qZ6fFC4NeK95I/li/TBzBUFZ+mE+no5arm43iqr50NyQFisRirVq1i1apVADQ0NLBo0SLa2tr4zGc+QzgcZtOmTbzyyiusWbOG7du3H/FFfKpTYFNtgq6WFNhUCyDTNMlkDvasGr6fnTt38j//8z985zvfAWDBggUFQXT++efT2Nh41PcrOTKkAJJUFWvWrGHFihW8+uqrQPl0hOM4GIZRsfNORgSolGhpaWnhpptuIpPJjLmx4XgjQK1loj+uECQ8hxqKnzdXCBKuTdjyEdINGiydE2cG2dYdIzWgklAcpgkfilpsgE4Kh3AZA7QjPEJaOeEkCGsjxZiqKIRMi4hmsKyumdPceh7p2sOAezDC093dzTPPPMMzzzwDQGtrK21tbbS1tfH3f//3aJrG+vXrCymzXbt2jem5G763qUJ6gKpDABmGccg9DD+2bds2du7cybe+9S0ATjjhBN7ylrcUBFFdXd2k71dyZEgBJKkKhBDcc889rFy5Es/zDvsr+LWYAhtryms044kAeZ6X9f+UEUDl/DiuENi5YwLw6Tph02BhY5gDwSTd3Q4p4eIXHrpycC8egpRwqSmT/koIh8ComWOFY55LVC0WTq7nIYAmy8dMJchcf4gne9p5YbC75GNub2+nvb2dxx9/HEVRmDNnDm1tbZx22mlcfvnlpFKpghh65ZVXOHDgQNnnb6pTYDICVB0CSNd1UqnUmG8/fL+bNm1i+/btfPOb30RRFE4++eSCIFqyZAnRaHQytiw5AqQAkkw5PT09XHnllTzyyCNjvs9kpMAmS1CNN+VVaq3xRYAOZ4AuFlMuHpqq5MRRVgCoikpA06nzWTQ3ZPBSDv0JhaDQ8SlawRt0KAO0XaY6zBOibOWYIzziwiGgWPh1HVOo/H3jTNpCtfyyaw9ddvkLkxCCHTt2sGPHDn71q1+h6zrHHXccbW1tnH/++fzjP/4jvb29BTH0yiuv0J/rZg1TnwKbag+OpmkjUj9TQTUIINM0icViR3z/vCdNCMG6devYtGkTd955J4qisHjx4kIfovPOO49wOFypbUvGiRRAkinlueee45JLLqG7u/Sv+3JMRgqs0h4gVVWPKOU1mnF5gDxRtgS+lAG6sF8hCOS6POcDIPlbKYpCrWHSELJIOA67OlNEHAsLDU8IdPVQBujSM8fywqnk/TwPW4hCZEhTVEK6ynHBCFdbx/F0bwd/HugqO05jOI7jsHHjRjZu3MhPf/pTLMvixBNPLKTLPv3pT7Nv376CGNI0bcpTYFNdBTbV4qMaBNDhUmDjJb+WEIKXX36ZdevW8e///u+oqsppp51WiBCdc845BIPBip1XcmikAJJMCY7jcPvtt/PlL3/5iML+lY7YTEZK7dRTT+Xtb3/7uFNeoxlPJ+igIFutVWSAFoc0QGeEIFQ4dlABCSFwhUfENAjqOn5NI9Cqs28wRX+/g/DAr5euDsuOzijeS34/hqqWFEeO52WF06j7WaqGX9U5ORRlcbSWRzv3sjs1vnEa6XSal19+mZdffhmAUCjEySefTFtbGx/60IeYMWMG06dPp6GhgbVr17Jx48ajGhGRKbDqEUCT+brnH5/nefz1r39lzZo1fPWrX0XXdc444wwuuugili5dytlnn13R/mSSkUgBJDnq7Nmzh0suuYQ///nPI3r7jIdKC5ZKrmcYBtFolHe84x184xvfGHfKazTj6QRd55WJxghB8hAG6JhrE1SsbAqooH8UXCEYchzqdAM1Nwg1pCjMqQkwELBZ3zFIDf5sCo2DIs0TAsfzCJnlK8dGG6BzB3GER0DXSj4OgIhp0mT5uGb2Qv7c18Vvu9pJiyMTDUNDQ7zwwgu88MILANx+++10dnZSW1vLpz71KWpqati0aVOhKeO2bdsmVSBUgwlalsFnP8OVaq0wFvKP13Ec/vznP7N69Wr+5V/+hdNPPx2/31+YY/amN72pog1gj3WkAJIcVR5++GGuvPJKEonEhL7oqzUFlk95GYbBf//3f09Y/MD4UmC1nlJGAHm45VJOQmQFTO6YKCggBUcIUp6DphwcE6IoCj5NQ5iC+jodXbj0DKSIKBY+JStc8h2g/VglR2ckPZeIapSsHHNRCGnFZfUiZ+IOaTp+TUcBzqufxonhGn7dsYeN8Yl3i7Ztmy1btvDEE08A0NzcXKgwe8c73oFpmiMqzHbu3FlRwSIjQEc2DLXSHG0BNBrHcfD5fNx666188IMf5E9/+hNf/OIXMU2TN7/5zQUP0ZlnnlmxET7HIlIASY4KyWSSlStXcu+991ak0qYaU2Dnnnsu1157LU888QS2bROPxyuyt/GkwHyeR9J1ihoTHrpZ4XADNMMzYLi516nU/QRgaRqtAR8iDK92JbDTFn5FRwiBPUxUjTifEKSwqVWKv7hdIcCXrQwrFk6CpOsQtozCugFNp8VSuXzGPP7W383jXe3EvSO/gI9+b3Z0dNDR0cETTzyBoijMmjWrIIguu+wyMpkM69atK3iI9u/ff8TnhurwAE21AKq0/+ZI9zCVAggoRHrS6XThNclkMvz+97/n+eef5/Of/zw+n49zzjmHCy+8kGXLlnHGGWdU9Hvx9Y58piSTzoYNG/jkJz/JunXrgMr0WammFFipKq+vfvWr4x5fUY7xpMBm1nq0JxIoroJf1TAVNRtVEIKgrpWuAMs1K8xHXAqvjpIVTj69fFrN1FQCuo6uKCxsVulJ2HR1JzGEhkCUMUB7eJQWVQ4CjNLpr7yPqWaUcDJUlYDQmOUPcs3c43iup5PV/b2Hf7JKcChxLoRg165d7Nq1i9/85jdomsaCBQtoa2vjnHPO4aqrrqK/v39EhVlv7/j2MdUC6PU6DHW8VIMAMk0Tz/OKngshROE1SqVSPPPMMzz77LO4rovf72fJkiUFQXTaaadVtLjj9YYUQJJJQwjBd7/7Xa6//npuuOEGAoEA//d//1eRtW3brooUWGtrKzfeeGNRlVcl+wqNNQXW4DOZFjCJtvjpHkrT2adQq1oYijoOAzSFAWBCZFNnYcMoK0jyVWWqohDSdayQSo1PZ0NXDC+hkBEuulBHpLrywql052gPBUb0Ghp+v3JpPA9AhUbT4uLWWbwhWstD+/fSk0kf9nkbznjK4F3XZfPmzWzevJmf/exnmKbJCSecQFtbG29/+9u57rrr2L9/f0EMrVu3jqGhoUOuOdUCqBpSYNUggEzTrAoBNBYj9vD3SzKZ5Mknn+TJJ5/E8zyCwSDnn39+QRAtXry4Yj/MXg9IASSZFPr7+7nqqqt46KGHgGzotpKCpRoiQMNTXqOrvCpZVj/WCNCsoB9TVTEMHSuiUhtw2dGdQEsaDHoZoqL48RUZoEcdG26AHn0s4bqEzJHRIUNVCeowo8YiGXHp6U8hPKUw6+uQBmiygkxznLKCq1wfIy8Xt7I0DUtVOTEc5bOBIL/r7OC5ns4xlcznOdIIZSaTKYgdgGAwyEknnVRIl82YMYOdO3cWbrNhwwbS6ZECbaobMU51CkxRlKrwAOm6/poRQKMZLoji8TiPP/44jz/+OJ7nEYlEWLZsWcFUffLJJx/TgkgKIEnFWbVqFRdffDEdHR2Fv1U6YlPp9cYjgMbS2LCSAmisHqCZoWz/HwcwNRVdVTi+SaE9nqajyybpefg8D2PYF54rBE4Jr07WcEyRATqPIzzijk3U8hUdE2RTWU0Bk9agyr7+NMmYRkg1MFAPaYB28FDSdrYj9Sgh4JYYnTH8cVi5fkR5k7ahqry9uZWTIlEebt9Ne/rw0aBKCpB4PM6LL75YeH/U1NQUZphdc8011NXVsWXLlkLKbMuWLcd8BCj/Pp9qAVQtKbBKlOIPfz8NDg7yyCOP8Otf/xohBDU1NVxwwQUFQXTiiSdOeTPQo4kUQJKK4boud9xxB5///OeBkR8827YrWq0wGRGgsYiMcimvI11vLIw5AhTyo+cEEGTnagUNnXq/x1C9TdKJ46U8IpqJT80OKC0yQOcQgJcrLT/UWA29xL5cIUh7LpZmEdA05tSrxMMuOw4kCLgWg166rAF6SDhoqlIkRFzhkXIdQlZxOi5fch8ZlarTFIWQbtBs+bh01iy2Dg3xREcH6UMInMn88u/v7+cPf/gDf/jDHwBoamoqGKrf+ta34vf7MU2TCy64gOeff56dO3cedTE01WXw+c/0VKfhKiU+JoJlWUURwkow/Lnt7+/nV7/6FQ8//DBCCOrr6wsVZsuWLeO44457XQsiKYAkFaG9vZ0PfOADPPfccyWPT0bE5mgPQz1Uyms046ncOhxjjgAF/ahq8ZeVikJLwCJsGiRtlz2dQ9SJAH5VG9EBeiQiZ4Aub0g2tNLmaEcINFVBz0Vj/JqG6VOxpqvs6k+Q7HdIeQ6+UeksF4GDwFCLH2t2kKtLtJxwcm1qS6TqPJEt6m/2+5kZDNBWW8PDe/exYXCwzLN49IahdnZ28tRTT/HUU08BMGvWLO68807mz5/PW9/6VjzPG1Fhtm/fvknf01RHgPKf6amOvlSDD8myrKMiwoa/3j09Pfz85z/nwQcfRAhBU1MTb3nLW1i6dCnLli1j3rx5rytBJAWQZMI8+uijXH755YecnTMZs7ugcl9Uh4oomabJRz/6Uc4555wxz/KqdArscBGgRp+Jv4Sx2PUEcccl5NMJmzp+XcM3XWX/QJLBQQ3Xg1p/cVTF9QSOEERKGKez3aEF4UOM1fBrWlE0JmzoNIctXN1lMJlEdcCvGVjDKtVUhbJRpUP1MUoLt2SqLiuOHEKqScgwsDSNj82by5q+fh7et4/YqPfOVHpwdu/eDcC3vvUturq6mD9/Pm1tbbzpTW/iyiuvZGhoaESF2XjHx4yFqRZA1ZICq4YI0FTtYfjr39nZyR//+Efq6ur4+Mc/TnNzM8uXLy9EiGbPnn3U91dJpACSHDHpdJqbb76Zu++++7AXjkwmU9EpyPkvyEoKoFKCZawpr7GudySMRUzNDgXQ1WFjLPL7EIK4Y1OjZD/quqoQMQ3MWpWBgM3ajgSWGyKo6ViqWvh153guCc8loKjFBmgEccchYpWuKrPd0hVnIhcZag36CEQ1BlIOXT02NaoPv6rhiGzEqVwFWLaPUWkDtKBMWb0QOMOGrhqqiq4onF5Xy9xgkEfb21ldRcNQ840QPc9j69atbN26lYceegjDMFi4cCFtbW0sX76cT37ykxw4cKAghtauXTuh4Z15ploA6bpeePxTyevJAzRRIpEIJ5xwApDti3X//fdz3333ATBjxoyCIFq6dCkzZsyYyq2OGymAJEfEli1bWLFixZh7+1Q6ZTU8AlQJ8j6b4SbU8aS8RlPpFNjhIkCzcgbo0S9D3qujjUqN+fRs+qs2oqDraTpiHnW6j4CqoasqjuuREYJwmYhLwnWoVcqN1XBoNM2SVWVx2yHq14mYBj5dI2K57OpNkEwaOJ5HrelHV1WUYZGsfAfochEnRwj8avlUnaqM9DgpikJA13GF4MyGOk6vr+VX+9rpSGUbzk11FVapi79t26xbt45169Zx//334/f7Ofnkk1m0aBEXX3wxN9xwA7t37y4IovXr15NKpcZ9/moQQFPt/1FVFU3TpADK4fP5RryXhn8P7t27l/vuu4//+Z//AWD27NkjIkTNzc1Hfb/jQQogybi57777uPrqq7Fte8wXi8no3AxUTFQNjygB4055lVrvaHqACgJodATI8zC0bNSjaF0BIVNjZtjCDQt2dg+RcnyENYO066KoZSa5lxFV+WNpz8tFo4qPJVyH+pxwMlUVw1RY0KjSk8yw+UACn2eQdkcKTY/s/SJlDNCu543sYzTqnOWOAdRaBk0+iwWR43n6QCepeHzKLnx5kTuW6EcymWT16tWsXr0agGg0yimnnEJbWxtXXXUVjY2NbN26tZAy27Rp05gE/FSXwVeD96ZafEjVJIAOZcYe/nrt2rWL73//+3z3u98FYP78+SMiRI2NjZO+3/EgBZBkzMRiMa655hruv//+cd83k8lUtAosHyavlKjKf4hnzJjBddddN+6UV6n9Ha0qMAWYEfRnRccw/SOEwBMQMcuLg7wvSFXguGkq/Smb9u4MTYkhNMpUgHkCq5wB2hNoavnKsdGpqmw0RsO1dOpqVTwtw6DqMeTYmLnIjSsEKc8tWzkWc+2SvYo8Ich4LkGrODqU9zGF9OyUewV4W0sz0/btYjNTEwEajwAazcDAAH/84x/54x//CEBjY2Oh5H7lypUEg0E2btxYiBC9+uqrJc9TDRGgqRYe1SKAJqsKbLyYpjmufQwXRNu3b+e73/0u//Vf/wXAwoULectb3sJFF13Eu9/97orvdbxIASQZE6tXr2bFihXs2bPniO5f6Sqw/JqVTIEB/Mu//Au//e1vx53yGk2lI0CHEkAtfguflu3GPDwC5AoYsh0ifr0oWuN6gqTrEjI1NCUrRIKGhqUpBAwHUQP2TodUbrp8XlwUBpIaesmokisEwTK9ehwhsDSlZOQoe36VWVGT2roUXWqcsG3i13Rcz8M7AgO0kzdAK6XTcQnXJWIeFEchQ6dJgXf6DLSZrTza3kHCPXpelPxrXIkUXFdXF08//TRPP/00kBX2eUH0vve9D0VRRlSY5T/X1VAGLyNAWaopAnQk6dQ8w1/PzZs3s23bNn74wx/SP8x7N1VIASQ5JJ7nceedd3LLLbdkIwpH+OU4GQKoUr4i0zT52Mc+BsC3v/1tnn322QmveTSrwGaGAkVjLCDbrHDoEF6doYxNxDeyA7SuqgQNjWhQpalJ0N4Rp87249d0fJqGS7Y7dNTSS0Zc0p5L0CwTcfEEEdMoKZwcIQiZOkFDpyFgsbDZpDOWorNPxRTZCFU5c7SilI84OcIteyzuONRaI78CLcMgaOjMj4S4vmYBv2vv4sWevqL7Twb512EyBMjevXvZu3cvjz32GKqqMnfuXNra2jjjjDO44ooriMfjrF27llAoRDgcrvj5x0o1eIAMw8B13Sk3Yo838jJZHC4FNl7yM8uqASmAJGXp7Ozk8ssv58knn5zwWpMlgCYaARpe5eV5HuvXr6/I3iqdAjvUWnPC/oKoGB47cD2RHUhaIuLiCIGNKBPFActv0Ri0CLa6dMaSHBjQqfMsVAXirk1dCVGVj7gEykRchmyH2kAZ4eR4hH0GGlkRFjZ19IiPqM9h/YE4pmuS9twR0SjIDWtVtbLRKE0rbvKYP+YpxR2wFfKpOkGLz8eH5s/kzMYafrZzH12pyf01XskI0KHwPI/t27ezfft2Hn74YXRd5/jjj6etrY2zzz6blStX8qEPfWhEhdnAwMCk7ilPtUSApjr6A1kBlEwmp3obkyLEgsFgRdc7UqQAkpTkqaee4rLLLqOvrzK/fqsxBXbeeefxiU98olDl9ZOf/KRiosVxnIr9yjlcBGhW0F8QOSO7J2e9OiXFgScw1dLpKNcTKICla+imjlWjkgy47OwaQslkDdJaCU+xm/PclIvUJD2HhlLCyRPEHHtkqkpRMDUVTI3GGhVV8egcSFAvstEoU1WzHaBdt2Svouw5D22ONlW1rFkbJTtXzKepLKqJMm9RkCf2dfK79k4mKz6Rf42PdgTEcRw2bNjAhg0bWL58OV//+texLItFixbx3ve+l89+9rPs3bt3RIVZIpGYlL1UgwCqltSTaZpHTXgeiommwEoxlVHG4UgBJBmBbdvcdtttPProo/T29lYsDFxNKbByjQ0rOV6jktPgXdct+zh1BVqDvhKT3AWOgKhllLzIZ1NOpSMnjhBono2uKriApakYPoUFzQp7BtKkex3irouuqiPninkCvcRYjfya5Xr1uLlePbqqFtmPPUAo0BwyUEIK+/rjxIdMIrqJrqgMejYNlI44pT2XgKEVNVbMG6BHj84o7NUT+DQNPTeSw69rmJrK389sYXFthJ/v2suOocpeEGBiJuhK7iGZTLJ+/Xr+9re/AdmLVb7C7Morr6S5uZlt27YVokObNm2qmGCoBgFUDXuA6hFiPp+v4n4dKYAkVceOHTu4+OKL6e3t5Ytf/CJXXHFFxdaulghQPuWVTqeLqrwqLYAqNWX5UBGg1oAPxzsoG3w+P4Zp0j8wSMy2qfMXV0c5niDp2IQsrSgC5AlBxvHQ3awAyge+1ZxJus6vY03XiCdSZJLZ+VsBLTtXzBEeIb20qHA9gU8vH3EpNY8sfz8hDkZjzNxcsZ2dQwQci7hrM+0QHaDDilXyWCzn/ylKx0FurtjIyJGmKIQMnWk+HyvmTmdPPMmvd3eQcConVvIibir7EJWqAovFYqxatYpVq1YBUF9fXzBUX3/99UQiETZt2lSIEG3btu2IRVw1VIFVi/A4WqMwxrKPSqfAIpFIRdc7UqQAkgDwwAMPcNVVV5FKpWhubq5oyTpURwQon/LKV3mN/qKvpHH5aK01o85Ph53Cp2nMndHK3FkzcRyHtCcIxIYw4n2QTpFMJAvRlbwfp8Zf/PF3PMGAbWOqKuqoVJYrBEnXoy5o0hrSiGVcdh+I0+D5MVWVlOcRMLUikeMJgSM8omb5iEvoEE0OfdrBKe9+XcNUVaxWld39KZK9NknXxVJHRnpc4eGKYo9P/nGkXBdNLZWO80gID10t7oDt5VJjrUEf88J+FtdFeXjXfv7S1V+0zpFQDRGgsZTB9/T08OyzzxaKBVpbW2lra2PRokX8/d//Pbqus379+oIg2r1795hFXbWYoKdahEH1mKAty6poCkxVVRkBklQH8Xic6667ju9///uFcRaTFa2ZKhP0WGd5VToCdDSqwI5vCrNwXg1N0+ah2QYvbdiIE48jDINkIMCJTbU0189BeILB2CCDg4Ps7+7FgfLm6FxEZnQPRMcTJFyPBk3Fb2TTQr7pKgdiabp7IOE4zDGKzY2uEMRsh3qjOBqVFSMOQZ9eJJzylWOj03iaqhA2dRpDLugusUQCYUNQ1w9OuRcCQ1fLzhUTZcrqHc/DRuAv89wM2jZNpkEo18n6iuNm8KamWh7Yvo/OCZqkqyUCNF4B1t7eTnt7O48//jiKojBnzhza2to49dRT+cAHPkA6nWbt2rWFpowdHR1l16qG9JNhGFO+B6ieSFSlq8BUVSUUClVsvYkgBdAxzJo1a1ixYgWvvvoqcPCLN51Oo2laRb+MpioFdqiU12iqWQCVW+vUOdM4+7STGYonWLd5C/sTGcIZDyeVITnQz654P/t37yIYDBGNRGiobyDc2EST6+JLxUjH48Rig4Vf3a6XFQaGNnIcBWQFkFApiBFNVYhYOpam0m1mWL/fIebYWJqKXzs4Vyzvx9FL9erxsumoiDLyeVc4KDjqA+WnvLeGTHxRlYF0hvauNPVqAJ+qHnJYqyMEZhlzuJO7+JdLx2WGPQ5dVYkYCotqw8xcNJ/H9nby3P6eIzZJ51/jao8AHQohBDt27GDHjh386le/Qtd1FixYQFtbG0uWLOHjH/84fX19IyrMhhdaVIsAqgbhUS0CqNIRIEVRZBWYZOoQQnDPPfewcuXKkoMH8+HfSv4SymQyRz0FdriUV6n1Kpm2qpSYKhcBuuj883hz21wG+nrpOHCAiKXhnxGgvWeIfe1JGnxGVigIGBoaYmhoiL379jHouPgjAeY3NTJ9+nR8vvkkEnEGBwfZcaCbSK7cvCgCJAQBvbgBoqWrBE2NpnqDgAn7ehI06T78WjZK5Hi5Xj1l/D+u8MpWo6Xc8sJpMGPTapqETB2frhIyPfYNxBmIGdiOR2PILNOPyCNapjrM8QSWqpQvqx9VOacoCj5dI+QJFtVHOHNalF/uPMDm/njR/Q9HuTlgR5NKp6Acx2HTpk1s2rSJBx98ENM0Oemkk2hra+Nd73oXn/70p2lvby8IokAgUBUCqFpSYNUggCodAQJkBEgyNfT09HDllVfyyCOPlL1N/kNXyT4UjuNU3FdULmKTb2x49tlnj2uW16GqrcZLJU3Qo9cyTZOrrrqKM+ZOY9fG36HZ2S8nTVWwDJ2miI8B22Yg5eHL2ER0kRt3kU0N9afSqKpLu52ifd8eDMMkEgkTCIWZMWcuxxmCgN+irrYOx3ZIJBPZKe+eIOozisSKyEVjmkM+an069UGPfT1p4gmNiG5gex5+o3yvHlMfHo3JpX+Ug+Xo5arY7FzVGeSiMaaCVafQ7bdZvz9FwFYJaNrIKfdCEHNd6vTS/YgcIQjmqr9KnTNglJ5WLxSIWBrTg36uXzSXFzv7eejV/cTssYuJ/CT4qeJolOFnMhlefvllXn75ZSDbDyZfYXb55Zczffp0EokEV1xxBa+88gobNmw46iKgWgRQtZigK+1FEkJIASQ5+jz33HNccskldHd3H/J2juPgeV5FBcvw6e2VTKuNFkDDU16f/exnD/tYh1PNEaD8vpqbm7n55pvp6+vjsQd+wLsW1BI0D55H5KMUmsr86UFcV7CnPU6zZ+LXdQTZERj6sH48tp2hp6eH9s4udg4mmD8tSv2iUwgEApxw4gl4rkd3Xx/xA73oThJVGelRcQUMZRzCAROfoWHpKmaTylDaZef+OJqtEvXpjJYNeY9P+BDRGL9eXKmWP6arlIzGRC1BXY2KbmTYH3Opz0WjjFxqLOU6JQ3QrhA4Zk4YlZkrlq0OK36N8o8jP1ftnJY6Tq4L8eudB/jD/rH10lJVdcon0cPR7UMUj8d54YUXeOGFFwC47LLLWLx4MZFIhGuvvZba2lo2b95ciBBt3bp10vdXLQKoWkzQle4D5HmeFECSo4fjONx+++18+ctfHvOvzEp7dvK/ZCqZVhudAhtvyqvUetVaBaaqKmeddRbXX389Tz31FD/4wQ/4xJvmFEdHhMiKA00l4jPQNYWApXOgN0l/fwqfomV9PmVSTo4QOOk0juOwr30fscEYwWAQzR+gsXU6s6I+LCVnqB4YJBaLkXIyDDkutbk1FUUpmKS16bChc4hMyiWgawR0CsZkV8CQaxP1Fc8qy0acPGrKjM7ID3ItJZyEgKhfpzXkww0LdvXESWZ8hHS9UMlVrv+Rl2uOOPod6nhZP1LQLNFzKDdXLWAdNHIHdA1TtfjAcdNZXB/loe3t7E8e+tf8VEeA8u/XqazCsm2b/fv385//+Z9AVvDnK8ze/va3Y1kWGzZsKAiinTt3Vlw0VpMAqoYIUKVTYJ7nSQ+Q5OiwZ88eLr30UlatWpVNVYzxyyKdTmNZxT1UjpT8F0ql02q6rh9xyms01ZoCE0Iwe/Zsrr/+ev7zP/+z0I9lXl2gZJM/x/MIWllRoasqUb+K1aSSqHHZsKMPTXhkPA+fUEdczB0hsHSlcBFXUPCER2woRqy3j72JVxlqjNJUW0M4EmbmzJlYlsX+nj7c3kEibgKRSRXeY5qq4DM0gn6dpiaLrr40obRByNDwaxqu8IjbDnWB0t2hB2ybaWUER8JxCJvFfYVEroqt1mcQMDQUAxZMUxlMO+w7kMbysqX45UzOKlkD9GgB5Oae11JVZU6ur1DEN/LrVFdVArpCc8DgulNn89fOQR7Z0UnaK/0ZnGoPUDUIoNER4o6ODjo6OnjiiSdQFIVZs2bR1tZGW1sbl1xyCY7jFKrL1q5dS3t7+4T3YJpmVQig12sKDKQHSHIUePjhh7nyyiuJx+Pj/pVU6QhQ/kutkmvatk1tbS133HHHEaW8RlONKbDa2lre8Y53UFNTw+c+97nCF3yt3yBqFftxHNcj7bhE/CNLx31GNpU0vTVELOXQPphBiFykQlOHDSvNRjEEYoQJ2vUEQdMAz6Wvr69QuWOaJq7pIxKuYeG0FvyWSSwWY2AwW3IfS8fwmRp1QZOagMlg0mbf/iRNui8ryJVR88hyb1NXQMbzyvp/hjIONb4yTQ5th1rjoAE6O+U+W7K/pSuBm9RIOi7KMLGXv68uPLxhDSCHn1M/xFyxskbuXCSrNWjxttkNnN4U4cGtHbzcHSu6bbUIoGqdBi+EYNeuXezatYvf/OY3qKpaqDA755xz+NjHPsbg4GAhOvTKK6/Q29t7RHuYagGkqmpVVKNpmoZhGBUfhSEFkGTSSCaTrFy5knvvvbfQ22e8ZDKZipuWK10J1tjYyEknncQjjzxyRCmv0VRbJ+iTTz6ZG264ga6uLjo7O0f8up1XG0QvYUaxXcFA2qUlUBw5gWyZd2t9AKMpxL79Q/iSGWoMHVNTiNk2Nf6cB0ZQKIP3hCDtCiK+4gqwdDpNb38cr7cHp9siGAgQiUSoiUaZMWMG+3sHqUsmCXgpkvEhTE0lMEenoydFrNfGRYyY4CoK+xSo5aa8e9kxH6XL2AVxx6NhlBjR1Wwn61BAJVRr0DWQJGpbBDQdv6biASnXw/Qc3HIpN6P48ef3U66sPjvmAwxNLYjNaxbNZE1XjJ9u66A3dfBCWy0CqJoiQIfC8zy2bNnCli1b+PnPf45pmpxwwgm0tbXxtre9jeuuu46Ojo6CGFq3bh2xWLHwHE01CI/89+RU78Pn8wFUXADJFJhkUtiwYQMrVqxg8+bNwJE3VZsMAVSpqFI+5XXiiSeyevVqfvCDH1Rgd5Wf3zWRtd7znvdw6aWX8v3vfx/btlmyZMmI4/PqA+Ub+XmipDhyXEHaEfhNnaCpYc6MMJR02LVngFpboy/tUB/I7nn4+yabjnJo8RtFosrxBAMZm3rLQgWSiQTJRIIDHR14KAwpOk2NtUxvaSYQDJJKphgY6KehppdNVjf7uuPEHAehMKJ3kCcEIVMvm3Ky9PLVYeUqx1xPIBSFuqBBQ8ikN27T3pmgUfehqQox10ZXS/c/ijsOkRKjQ/JzxcJmcSPH/Ovh0w6W1ZuaiqEqnNkcZV40wK93HOD59n4EHPGPlUpRDQJI07Qj9ghmMpmC2AEIBAKcfPLJtLW1cemllzJjxgx27txZSJdt2LCh5IXdNM0pL8XPf/dOtQk6b4OotBCTESBJRRFC8N3vfpfrr7++UMU1Eaq1G/TwKq+nn366oqHqajBBBwIBrr/+eubNm8ett97Ktm3bWLp0adFac+qC6FqJLseewDBKz9xyPA9VUwpDPgOmjqVr+ObXsetAjFjcJeF4+I3ceydfOu4J0mWM047IVZWVOGY7Lu0DQ+CmSfX3oOs6kXCYSCTC/LlzqJk1j8GBXpKJJLu39eAkU/gNHcfzSLpuzuQ8ck2RM3nXWOUER75UvcyQ19yUeZ+eTYtF/Tp7u1NkYgqDtp17yKOr3ARxx6bW7yt+vgUM2jY1JWauZcURRMyR6UhFUQjoGmnD47zWGpbMqOVnWztIe96U/uKfaBPESqDresWiDYlEghdffLHgCYxGo4UZZv/4j/9IQ0MDW7ZsKYimLVu2FKLA8fj4+zhVkrzwmOpUXN6HVOnIpBRAkorR39/PVVddxUMPPVSxNTOZTEVN0DBxATS6yuvSSy+t6EyZqU6BzZkzh5tuuon9+/dzww03FML1oxshqgrMqQ2UHR1RG7RKR048QchXPFYi4jeYVhfA1hW6kw4i6TCQSmd9QOQ7JytlBYeiqGXL2G0hCntxHIfevj56+/pI2i7tKY9TZjcxe1ots6c3M5TSGdzTTXc8ga0b+MmUnPI+ZNvU+rWSfXzs3OiMcqXzId/BqJKhqURUhXnTAnQEUnQdcBnKOCQcByHEsN5BHh6ijKjySLgu9WUGssYyNrWB4r0KIfAETI/4CJkanzt9DpvTGom+I/ewTRRVVadcABmGMWl7GBgY4Pnnn+f5558HoKmpqWCofutb34rf72fjxo2EQiG2bds2pSnJvPF4KiOCUPkS+DxSAEkqwp/+9Ccuu+wy9u3bV9F1J6Nz85EKoHJVXkcyDf5QTGUK7IILLuDjH/84Dz/8MD/72c9GfPGNjiZNj/jw6cUXVVdkuyPX+QNFAsD1BCnHJew3S5acKwrMqA/gN3Ri8Qy9hkUylSHluNl5XH6zrOcmYBUPQM0e8zB1tawYSafT9PX1khoaQAhQDAs15GPAV8fMhQtpIoPPc4jFYgwODuI4Ti4d5dKoFD+3jifozzhMs0o8N54g7bqEfeaIqFK2d5BK2DKY26pgNRu8esBGtx38+sHeQaZWWuS5ngBE2XRcwnVK7jVr1rapM7O9gyxN5U0RPw37XuK86bX8Yd/YegdVkmqJAB2t9FNnZydPPfUUTz31FAAzZ86kra2N9773vVx44YWce+65rFu3rpAy27t371HZF1RPCfxkTIIH6QGSTBDXdbnjjju46667+O53v8t73/veiq5fLR6gQzU2HO80+MMxFbPADMPg4x//OGeddRZ33HFHoUPucEZHgObWB0tfcF1BwvZoKpEaczyPgbRDKGgV+3hcQV/SpqnGT9hn4DM06qYZbB7009HRTcbxmBbxFYsqIbBdQaREOirvjakZVY02fD/DhZOiAE4aJ5OmpqGR59esoVkLsKC+ltbGRubNm0cymWRvVzcDXT3oRXVa2f1k3PJiZCDjEgwUd3l2RXaQa0PQojVqMtiqs357ikDGIKRpZNzsJPty6/p0raw4EpQZOusJkq5XEJWqohAyDRosjQ+e0MzJ9UF+s6OLfbGj5wE5kkGok7GHqUr77Nmzhz179nDKKaewceNGNmzYQFtbG2eddRZXXnklQ0NDhZL7V155ZUIVp4ejWgTQZIzBACmAJBOgvb2dD3zgAzz33HOFFFClKxds255yAXS4xoaVFCz59Y6mB6ipqYmbb74Zx3G44YYbyn6hjh6GOq8uWPai6ogyAsDLioPSDRA9Ms7BknNDU6kL+WhtDJJMRdmwvQd/2iFgaPj1YWMlPEFfOkOLz1/SHD2YdomGiyNOrifIOF62UeOoY6oCIctgZkMAS4W/dexh25491Pl9TKurRRgWJy9cwPSghZ1MMBiLMTAwQCKRyFaOaaUrx/LPTennzWPI9qhVFXyGTjRgMr81yFDKZve+BI4taA2apUdneKUFIGTFkV8v48cSAlEicmRoKgFDpc5vcsMb5/KX/QP8cssBUs7kC5NjLQJUDsMwSKfTbNu2jW3btvGLX/wCXdcLFWZvectb+OQnP0lnZ+eIoa6Dg4MV20O1CKDJiACZplnR7+2JUB27kIyZRx99lMsvv7zgD8m/OSvdNGsqU2BjbWxYzSmww4mpM844g8985jM8++yz/O///u8hv/RHR4AagiYZx8XS1REXZTeXjjJ1DbxRYtEVWIZaunTeEygqRabqgE8naOlEGgMoAZM9XQmmmQb+XF+dQjl6Gb9R3HGpL3NsIO3QHChdVeZoBlG/QUBX8M+MMpjM8Gr7EEPpDEnHJbhXZagmRE00SiQSobm5GYTg1Y4ufPEYfjeFmxkZRXBz3bHLVocNEyOqohA0dSxdhZkKmzpidKVtfJpGQNeGdbLO9hyqN0pPq3c8jxrLKCvIAsbItJqSaz/geAJDV6jzG7x1bgNnNEf56cb9vLh/oGidSlItAmiq91CqE7TjOKxbt45169YB2chIvsJsxYoVrFy5kt27dxfE0Pr16yfU8LVamiBWehI8gN/vr+h6E0EKoNcI6XSam2++mbvvvntEuWz+Q2JZ1ph6XIyVqUqBjWeWVzWnwEZHbfKoqspll13GO9/5Tu65556CIfNQDDdU+0yVulk17O1N0goEDA1L13KzqrysV0dTcYYJoLw5Ouo3S4oV1xNE/OYIcSByfYAEUB/y0VobIFMboL19ADOeoc7UcTyBVsYcfahBpq6X3WspMeZ6Akc10FQVVYGgpWPqKoG5Bnu7hujsSDFXtUgmU9jpNF2dnaAo+PwBkrpFc10tc5obcGyHwVwzxoGBAVxhE/WVHqvheAIz1ygSRck+eLLCLmjqhEMmrVE/HZ1JommdkK7h17VcGstBV0tPqx9I2zSFSosj2y1h1lZyVW65oaumqmJoKpamcvVpMzlvRi33b9hPR3xy0mLVIIAqOSpnIns4XBoulUrx17/+lb/+9a8ARCIRFi1axKJFi/joRz/KtGnT2Lp1ayFCtHnz5nGl9l6vc8CgetJfIAXQa4ItW7Zw8cUXs3btWqC4t086nZ6UpoVHWwCNd5bXZKTAKvXrpFQEKBqNcsMNN1BbW8uNN944ZlPl8AjQgpYozfUhtKYwHftj9A+lqbcMDE2lP+XQ5PMVVZ85nmAgZVMbLeHj8QSJtEswMHoel8hdqF2iQQOfpeFHw5pVy1DKZtfOPvx2NqpUajio42X7DZXz/5SLxji5Xj1ZcZR9nxtadpyH1xCk33U5kHExUjZhQ8Onq6jAYCzGq7FOhvr99O/fSzhXbt/S0sKMWbPZ2RfDSQ1iuBlisaHCZ6gQqcl5lUbvyHEFtQGTuoBJZJbBQCLD3vYk0zwLVwgUVSnbATpVpjt0tq9ShmmWNUIcKSi4ItvHKWIdTB3mq9VObY7QHLZ4akc3z+zswa5wgVA1CKCJ9AGqFEcyC2xwcJA//vGP/PGPfwSgoaGhUGG2cuVKgsEgmzZtKgii7du3H9JvVU0psErvQwogyZi57777uPrqq7Ftu2xJZKXndkFWAOW7gFaKcgLoSGd5VToFNpkm6BNOOIEbb7yRDRs28JWvfGVcv6qGrzW/JYrP1AhYOtasGuJJm707+wi5gsFUhlbFV3wR9wQJx6WxpHHaYyBtEw6N7Bwt8sdSDo3+g/4Xv5mNyGjz6tm6rx8vZlNnuwTJXqghNznd9bIRlzKl+lG/UTZ1puNm1xp1MdZVhZqAQXNrhHTaZde+GC2mTiAXjcmm47IDRQcGBhgYyKaMXEWhTw9yfHMts5qno+k6Q7EhBgcH6enrZ3AgQa3pK1NW7xL1G5iaiqVnewgF5xrs700y2J3B0MTotkGFx6EppbtVu7nO2kUCUAHb9RjIODRZ+khxpChYmkrQ0Fh+XBNL5zXw0/X7WdNROd9JNZTBV8MYikoMQ+3u7ubpp5/m6aefBmD69OkFQfSe97wHVVVHVJjt3r17xP2rSQBVOgJUydYlE0UKoColFotxzTXXcP/99x/2tpMVrYlGoxVds9Q+x5PyGk2lU2CV9AANT4G9613v4oMf/CA//OEPefTRR49orXxUZ35LBD3XMTkrRjSs4xvY2xEjFk8Stx3C7shflm4hqlJacLil0lE5oZKyi5scaqpKwNIxfQZNLWE6uhKEEhmipk7A0HCFoD/tMK1E5+i8byYSLF2On3FddOGgqcpo/ZM1HAeyM8VEAIIBgwOdcfoHMxiArpauuEqmbQ70dBByhug70I7PZxGJZP1D4bp6gnMXYiT7IJPKppeHnW8g5dBkHRSHhqYS8SnoDQF264Lu3jSDto0H+LSDnixXCEKmVl7klZgrpqDgOB4pt3TPIdcTDGZcmsIWfkPjujfOYU3HID9Zu4/u5MRFQzVEgKrVAzRR9u3bx759+3jsscdQVZW5c+eyaNEiTj/9dD70oQ+RTCZHVJhViwCajBSYFECSQ7J69WpWrFjBnj17xnT7yYoAVdoEPVqwjDflVWq9aq0Cy+/txhtvZOHChdx2222F8STjZbgHaH5zZISQ0VSFsN+krtaPa2j0JDMo8Qx+4RAws2ktx/MImOV69QzzvwxDkE1VKZpaWji5HrquUheyqAv7GIxn2L17gGZXoCBIu2UGmXqCeNqlLly6jL8/ZWOoCpqiMvzd4HqChO0SCmR9M4qiEPUbWK0R4nU2G7f1EFEVbNfDVEeWurtC4DMOpuNSqTSpVCednZ3EMg4DisGiWU1Ma2jANE3mzZtLf/8A+7t7cQbTReJQyYtJVWXBnCiu7bGnI8k03SSQK4lPlelknd9P0CjxeiiQcV00rXRazfEEKSebVsuP1Hjj9BpObAzzf1sP8PjWTpwJpMWqoQy+WqrAJjMK5Xke27dvZ/v27fzyl79E13WOP/542trauOCCC7jmmmtIJpMMDQ1x3nnn8corrxSimUebyUiBVfqH9USQAqiK8DyPO++8k1tuuSXbKXaMX0aT0bV5sqJKuq4XUl5vfvOb+cY3vsHq1asntF6lqKSgmjZtGpDteLpy5coJlch6nocQgpZaP0F/6Qnwtu3RUhfAb0XxUHl1YzvTHA+/rpHMuNQESqejHNelJljCHC2yg1VHT5UvnNMT+C0NXVezUShDJeDT6epJ0rt3gIwnSqZsXU/gUVxxBrnUkO1h6GX6GKVsIsNSddkomIaiQG1zEAWFvX0pmr2DlWqeEKQ9jxr/aI/Twcfh2Ek6Dxygr7uLxW1tdHZ2YpgGjU1NLJl7PCE3TiaVYHBwkKGhIUQuauaKbCrPDKmEgwbtnQliMYeAqtGXyRD2+YojYLnquLClFYkjhayAKzsDbZTpXFEU/EZ2wOo7jmtiRtTP73f1sKFzqOi+Y6FaIkBTLYCOdvTFcRw2bNjAhg0beOCBB/D5fFxzzTXMmTOH97znPXzmM59h7969hejQ+vXrSSQSR2VvlmXR11e5ppyaplVNF2iQAqhq6Ozs5PLLL+fJJ58c931fKyboTCZDXV0dd9xxB+l0mpUrV06omVi1psCWLFnCJz7xCQC+8pWvTLiaw3VdhBAsaI2WrZwaSNpEov6sN8jy4R3fRG9fgv3tA2TSDnN84ZIl5/0ph/oSTQ4d1yXt5EZnjBIrnhDYjktN0Coc01SVSMDEMjRUU2X33gH6Ug6QvUjn13c8gc8q3TjQcT00XcUoEYVzPIFL6SGvWZ2l0NIQQG0Msb9jEHMoW6mmKwqDaYcmq7gayxWCtOMS9Y80aw8NDREbGqIvmSGj6yyc3kRdbQ3z581D0zRisRi7O7roEb3oqpI1afsMrJYw8TqbrbsGSGccMjnhOvx5d4RgKOMQ9Rc3pHSFQAjKRo4cIQiWEEeaquDTNepDJte+eR7rD8T46Zq99I4zLVYNBuRqEEBTXYmWSqXo7e0lHo/z3e9+l3A4zCmnnMKiRYv48Ic/TEtLC9u3by8Iok2bNk2aYKt0CkxRFCmAJCN56qmnuOyyy45YaU+WWKl0Cqy5uZlTTz2VRx555IhSXqOpthSYrut87GMf49xzz+Wb3/wmN910U9FF7kjwPA/P85jfGi0ZObHd3Kyq3EVc0zUiAROfoWH5DDZs66InkclGaUx9hBhJZkoPMs04LgmvzMR112MgadNYYgBoNj0F8+fXoysqu3f30+Lq+AwNU8tGOGr8Rulp9blZXUbJlJsoO1bD9bzsNHkzex5rZg3xlM3uXQNE3GwH6JYylWr9abtoyr0gF6mxXUK6xkBfHwO5z6bf7yMcDuMLBHjjqa00BEwS8Vih5N7UVWbNCLOjK87+VAY9N/jUzD0mN9+sskw5Plq2b1CpyFHa8Yj4yogjT1Drt6jzG7x5Vh2nTAvzyMYOntjaiTvGtFi1pMCm2gRdDXsYHoWKxWKsWrWKVatWAVBfX18Y6nr99dcTiUTYtGlTwUO0devWir2OlW6EqCiKrAKTZLFtm1tvvZWvfe1rKIpyxG/ayfAAVbITtGmaXHXVVbS1tbF27Vp+8IMfVGTdakqBNTY2cuONN6KqKjfccEMh5VUJT1H+fbGgNVLWj2OZeuFY/tppGtlqsdrGEOFogJ37+2mxPYKWhs/QcFwPRc1Gb0ZjO25Z47TrCZKOW1rEuIJY2mV2TYCApRPwN9DZFaenJ0mNqdGdyNBaFyg5qyuRcQkFTAx95HMm8qXqpVJ1ZC/+QV+2quygOVzFWlDP3s4h4ok0cdvD1L2CEMnfz/ZGVWMpANnzxTIONcGRn6tkMkUsnmDfYJKasI8ZTbVEwhEaGxuZM2cOyWSK0L4DRGoH8TIp9u0fxExkqDVy1WpCYOllBsvmokXlR3k4BEs0j8zOOcuKI0NTMXUFS1d5/+LpnD2nnvtf2s3GrsNPN6+WFNhU76EamhCapll2In1PTw/PPvsszz77LAAtLS2FCrN3vetd6LrO+vXrCxVmu3btOuKhqpMxCkNGgCTs2LGDiy++mL/97W8IUdovMVYmKwJUiTWHV3k9+uij1NbWVmB3WaolBXbaaafx2c9+lj/96U9873vfG1HuXwkB5DgOqnBprSueAZZPR9WGfcPESvY2+XlczXUhGqI+ImEfPT1DdHfFaA6a2K6XFQ4lhEzGzYoF3SvROdoVqKpaRox4ILIeH13LpcVaNRL1AbZt62EomaHOsQh5Iz05jucxmHGIhKzsFHpl+JrZPkb1ZfoYpRyXmoA54nFoqkrYr1JX40OYKj0Jm3Q8Ta1lEMil5FxPYBjlK7U8yszxcrNirV6BodgQQ7Eh2tvb0TQNXyBICovj5sxiemMtXb19tHf1sm1rJ6n+GGnXI1qmP5LrCSzK9w7KeF7ZrtIDGXtEZ21NVQhbBnNqVa48fTbru4f49dp2+tPlUzvVUgY/lemn/Od/qiNA4xFh+/fvZ//+/fz2t79FURTmzJnDokWLWLx4MR/4wAfIZDIjKsw6OjrGtY9KpsCEEFIAHev89Kc/5WMf+xipVGpCwifPZFWBTVQALVmyhGuuuaZQ5fXOd76TpqamCu2w8ikw27bHJVhUVeX9738/7373u/n2t79d+EUGFC4klYoARfQUjqoW+3hcj/54hsY6E3X4YFGyF+rBhE006sc0dUwTLDNKsjbArl092AMJGqP+or5BWVHlEbRUPK90xCkSKJPGcgU+Sx9xzDI0DF1l5uwatu5T2Z+wMTUVv5GNROXv54oyKbdcH6NpZURDf8KmJWCWiIx4OK5Lc62fwLQwQ0mbXbsGaHY8AoaK43rU+kaKEYWD4yhMXSvfOoDiESCu69Ld28erPXFifUH6DgQJhyO01tcws6WZ/oTLpq0d+GJ96IqLlzn4yzrbARrCwinbPNIqVTlGbgjs6EhWDk1V8BC8cU4tZ82p4zfr9/PEpgN4Jb52qiUFNpUCKP/DZaoF0JEasYUQ7Nixgx07dvDrX/8aTdNYsGABixcvZsmSJXz84x+nr69vhCA6lPWi0ikw13VlCuxYJR6Pc/311/M///M/I8ZZTJTJqtg60jXzKa83velNI6q8jmQa/OH2OFURoHA4zMqVK2lqauKWW25h165dI47nLySVEECu6xLWUsTKCI6k7Y26UOc8Pq5HLGVTX3fwC8cyNExdZfbsejbshn3xTDZVlRMjipKNjCQ9FUNTsEsIrkTaJhS2ypujQ2bRMVVRMHWN6c1hogGT3p4EPX1JGgMGATPbyNDSc1ElcfAx5M+pUDpV53herq9Oad/QQMolEtHwWzqmoWIdX09fX5KO/TFExmVaTaBkPyLH9agtUwHnegKfqZU1pAuyEbBMJkNPTzc9PVmjf0aoZHSDyKxmmswQlpNBZFIkhobo7u8nIaBJKR7mKoTAE5RsLJl9DgSGXiaS5QrSnmC6ZeAzNC45bQbnzm3g/r/uZsOBkaNzqiUFJgVQ5UZhuK7L5s2b2bx5Mw8++CCmaXLiiSfS1tbGO97xDq6//nra29sLYmjdunUjUm+VNkHLCNAxypo1a/j0pz9deFNXSvzA5ESA0un0EYmL4Smv0VVelRYsjuOgqiqqqlbkl+tYBdBxxx3HTTfdxLZt2/jc5z5XduhhpSJUrusSVlMky/h/NG3kkNP89dPN/cwfLQ4URcEwNPyWSeuMOobiGbq7BpkWNAlaOo7roXoQMHVGXwbc/JT3aOm99CcyNNYFizw+WeGU9dTUhX2EfCaJhhB7dvcSjTm4bm4eWRlzdLCccdoVaEaZsRquhyeGmcNVlYhfxWeoWH6DDdt7MFIZ/IZWSIvlzzeQdqkf1Y0ZyJXVu9QGihs55s9ZrudSOp1moLeXMENsERAfhFn+IC11tZzQ2sp+WyWo2tg1NcRiMbycGMn6f2xqAlZxv6Zcw8qacmJN5MaO5HoLRXwGVoPGDRccx1929fHTv+4ppMWqQQBNdQVW/vtpqivRJsuHlMlkWLNmDWvWrAGyYynyFWYf/OAHmT59Ojt27CgIosmYBi8F0DGEEIJ77rmHlStXsnz5cs455xz+/Oc/V/QcmUym4t01jyQCNDrlNfrLdDIiQJD91ViJL4uxmKrf9ra38eEPf5j777+fX//614e87fAGhhPB8zyCarKsAToaHB1xORgBCviLy9gBHMfDbxnURvzURPwkawPs3d1DZDCFqkATomQ1lu1m+9+UEyMpu3Q0JluqnyESyc5as8xsWsyY10DvQIIdW7uZraukHW/Ej4O8xyc6algr5M3RuSGvZabcW0ZxpMbUNYI+jUh9gJoaP3v2x2hyXQKGjhAC2/VIum5Zb9BA0qHJVyyO3FyjwlI9l/LHg36TkM/IRcQcdsf6Wf/yHiKaTmTmTJqmNzJr5kwsy2JoKDuu40BPH4n+JA0lBQ4MpB2i4XKCTBD2jfRbWbqKqRmcOj2K39LYeGCIpzZ2ZJ/PKbzw56OlUy2ADjV26GhxtHoRxeNxXnjhBV544QUAamtrCxVm1157LbW1tVx99dW8+OKLhQqzib4+UgAdI/T09HDllVfyyCOPAJBMJis+XwuyvywbGhoquuZ40mrlUl6jmYwIEGS/tCrxZTF6ftdwfD4f1157Laeccgq33347GzZsmNB646G5xkJXsh2Ch8+dclyPoZRNKOQbIToUJVepZTvUhHxFAkDkUjw1UQtNy5aWm7qKOb+J2FCabZs6CKdS2KZe3Mcm18ennABSNaWscPLEyGiUqiqE/AZC+Ak2hoibGnsHk/TEkti5cR6O59GftJkRLPb4OJ5gMGUTjVhF6TFPCBzHK5mOA3A9qAtZNEZ9RIMmff1JujuGOD6eJJlxyldjuR4p18UoIY5cTzCQytDiD5as1ErZ2YaMeq5TddhnYOkakaDJll19ZAYG6An76N67m4DfRzgSIRqJMHtuDdEFJ+JP9+OkkgwODBTSEo7nEXdc6sukB+O2Q6hE9ZyiZF+nGTVBFrXWsGRBAzt0QSwWK1rnaFFNAmiqmapRGH19ffz+97/n97//PQAPPfQQf/rTn5g7dy5ve9vbsCyLDRs2FCrMduzYMW6xKD1AxwDPPfccl1xyyYgU0GQ0LITJ7QN0uPTSoVJeo5ksAVTJAaal1po+fTo333wzAwMDrFy5kv7+/gmtN15m1vsZSmay4yeGXcgc12Mw6VBTlI5SCubo1kBxN2LH9egbStNQFyxEBhRFIZDzmNTPrEVEg3Sn0qQTNgFLw9S1gxVnwWL/D2QvuNGgVUYcefis0pERAYQCJjObQngC4uEI3fE0FtkUliNEmf4/gnjGoV71Fx9zs80hG2r9pSM1dtarZBkaPlPHZ2pEIz5StVHa42kU5WAqcfR99VEpx+GP3y415DR3rD+VoSUQGPF6mLqKqug0NQYJ14UZ9PnoTdmkXY9UKkV3Vxf9aYeMYXHijEYa6mqZMWMGruMwMDjIvq4ejERp47TrCWIZl5oSY0dcT5C2s13Aa/wGAUtnca1ON308GDTpiR/9i281pJ+qZQZXpTxAE0HXdTRN43e/+11hFMfs2bNpa2tj0aJFXHLJJTiOw7p161i7di1r1qyhvb39sOvKCNDrGMdx+NKXvsSXvvSlot4+qVRq0iJAk9EHCA6dXjpcyqvUmpMVAaoEpVJg55xzDp/85Cd57LHH+PGPfzwur1GlUmAz5tSTCdRwYCBFxKcTsLLjMBz3oOF2OApZweE4Ar3EWAnb9bINEEuImOwUeEFLUwjhBfjbgf0EUylqc2XmfQmbafXFDRAd1yOesgkGfSWjMbbjURMqLZxcVxAOmgRzU+frGw30lig7t+4nrCgIBUrcDcf1co+/tOBI2uV6FXkMJGxa/AejSqauYQRVaut0tGlBBncn6U9mCFvZsRr522UHshaPI8kfGz6qYsRj9LKptVJptex0eI/5NQHqay32HvCze3+MZtPA0lXSjouhpenpPEBvVyeqqhIKhYhEItTW1bNk7nzCZEgn4gwMDjIUi2Ur4LxsG4Rye+1Pu0wPZqNRlq5RF/IRxeP2d53CI6+088TGjjE3UawE+c/eVJfBT7X/B6pDiOWvKcOF2K5du9i1axe/+c1vUFWVBQsW0NbWxpvf/GY+8pGPMDg4OKLCrKenp2hdKYBep+zZs4dLL72UVatWleztMxlCBSYnApR/05f6II415TWaSjZXHL5mJSNA+TC8rut8+MMf5oILLuDOO+/kxRdfPKL1KrG3kxY00dQaYue0enbuPEBLyCNg6diOi99nYBQPlcpGi8wyZdxONlVVThwJIQgFfRgazJnbSDyeYefuLmp0hYFUhlY1ULymm/XGRCOlBUdfPEPTsFL9PK7rEU/bhAMHxVEk6KOxNoB2fBNbd/Vhp20SaRdNVUek17LzyIySosJ2BYqqlBYcniDjeCWHnFqGhq5rzFvQgJ1x2dURo8Vv4jd0NBWGMjahkFW07kg/UulqLKOEHyl/LOMK/KZGNGjRUh8kErbo6Igh+tPE0jZzrINpNc/zGBwcpH9ggO5EBitgMXtaAzU1UWbPno1pGAwNDbFzfxdDaj+GWqxiHM/D9kb2HFJVFZ9pUOMzOXNuHWfMrePXa9pZs7e/6P6TQf6zMpVG7GM9BTac/I/1cpEoz/PYsmULW7Zs4ec//zmmabJw4ULa2tr4u7/7Oz71qU/R0dExosIsFovJFNjrkYcffpgrr7ySeDxeNic6WQJoMtbN/woaLVjGk/IaTaU7N+f3Wak182vV19dz4403YlkWN9xww7gahw2nEh6gaNhHY12AumiQxvowpqXR2x2js2sAXRGEw/6iC64Q2YtqXdhX1jg9XHCMPpZPVam5tJhlaFi+Fva09xHvS5JIO7lyem3E/UZ7fA4ey6acyh3rjx80R+fRNZWAzyAQtgg0htjflyAxmCbq1wmY2dc75bjUBksboF3Pyw5yLRMB0o3SU+5tx0OgFLxT0bCP9v2DmEMpgrrKQMqhNlIcxXVF1o9UEypdqZUVR6XFmusJTENF1zWEAENXiWoG1owo3ZEUe17tYTDtYGkafkMtRN+yDRAdmvwG/f199Pdn+7n4LItgOIzhszjtlIU0hf3Ec4bqgcEB0ul0drTIqOo5hWxrDoFAU1Vm1gX4zEXHs2ZvP/e/sIvO2OSmZPKzyKbSgFwNwgMq339nInsY6+uRb7i4du1afvzjHxMIBDj55JNpa2vjkksu4XOf+xzf+MY3ZATo9UQymWTlypXce++9h+3t81qKAHmeVxSxGW/Kq9Q+Kz1frJJptXxn6a9//eusXr2a73znOxP6MqxECuy42XWFEQ+6rhIJ+bBMnYGwn/Ub22lSUoR8WQ+HlrugO45HXzxNQ22w6GJc6ONTwsfjeYKMnesqrWsIke9lpBIOmDTUhVEti65UmmRfkrqgRdCnoakqjucRKDvHy0PTtLLmaFGuAaKbLfGui2QjQkNDGXbu6aHV76Gr0BfP0FqmAWIinTP/FonDnBgp51VyvGxPHU0ppMXMWbUkUjbbt3WTyjikXY+gECPSgPnu0KUqtbJDZ21qy4ojj0jAzD0/2e+P/EiPkN+gviWM5tPY1ZGkJdfJ2tJVHE+QLuE5SqXTxBJJdvcnaazxM1gfzaXLapk5ayaZTIZX9x7An0jgExmE5xbOmS+r11SFgJntGfXGOXWc1BLlt+v385s1+8hMUl6sGtJPU12Gn6caxnFMdAxGIpHgxRdfLETPo9Eotm0TCBRHkKcKKYAmwIYNG1ixYgWbN28GDt/bZzI9QJNprj7SlNdoJiMFVqkIkKIoLF++HMMw+OEPf8jvfve7Ca9ZiRTYcXMaCsIm78q1TJ2A3yAYDRJqCLHjQD8tIYOgpeO39Kz/Je2WTHFlzdF2UcSlcCyWoak+28fHG1FxJkimHabVB/FZNcSTGXbu7KQ5k503lsq41IaKRUW24kwQLXEsf07f6InzIvtYHddDURTMnFHZMjT8/mn09MTp6xggkXJoKfGZc9ys4IiUiNQ4nmAgkaE24i/yKmVL4F2iAZ18cEtRFAJW9tzTZ9eyuztG+1AaTckKBCt3w/zojHKNCpNph8Zo6f0MJm1qoj50TWP4wxG56fAttQHqQyapmiAHOmP09aWpt/RDeo4cT5B0PTQV4ok48USc/R37URUVXyDIkGoxs7WZWdPqSSQTDA4OYlkWtm1jD0vlHZytpvHuU6fzhtm1/Gz1Hl7e0190zoliGEZV9CGaauGR/0E31fuo9BiMgYEBfD5fRSpjK4UUQEeAEIL//u//5rrrrsNxnDEbY9PpNJqmVfyXTiaTmZTIkm3btLa2snLlSlKp1LhTXqOp9OiK/JoTjQCFQiE+/elPM3v2bBRFqYj4gcqkwI6bXV8QDsMjHa4riIYtGutD1NYEGOiN09XVT2vUR1CxUbTSg0ydnMen3LG07aDranYeF8PPlzU519eHsmkxU8N3fCt9/XHa23vIZBzmNkdKln/HUjaRkP+gkMvheVnBUc4c7bhergFi9piuqUSCVnbwq6WzdUcPPfEMqqoStLSCoHEOGVXyiKddGsuk4zIYGLqKqowUVooCpqEyp6UGn6nT2RlDG0zREDCznazzDRDL9EDylOLRGflzxjMuDYUxJwfPmy/zr4lYOQEosKZHSTQ47NnZj5ZwMEytyJCevW/W31M8O86jp7+fV3sTJPqC9HYEiETCRCIRopEorieYOVeQSQ1hCptEIgFkI0Jhn0FjyOJ9Z8ziwlNaeODPO9nXV7oJ6JFQDVPYq8EDlP+RWA0CqNJpOL+/+IfXVCIF0Djp7+/nqquu4qGHHhr3ffNvJsuyKi6AJiMCpCgKn/nMZ3jssceOKOU1mnwKrJJjQCbqK5o/fz433XQTO3fu5LbbbuO//uu/KiZQJyqATENjdmsNmqZm+/EMG3LqOC41kQCWpRNQVXyWQbgmQMe+XgJ9ySKxkcdxshEXo0x0SNdyRuOR+uegxyd3P01VCefEiGEabNx2gM7BNFZuAn1eCGRL9W3qoqWM0x69sQzTGkaaowV5c7RDNFicNjL1rD9o7twGAqbB7n09NDtZb5Df1LA9gd/UyxqOUZTSjRNdD5f83t1R9/PoH8rQVB8iGjTxmzqJjMPeXb1E0w7pjEskVNysMX/foK/0flzPQ6i5SjaFEREg1xMMpR0atOxFIx+NsQwNbV4t2/YNMNCfpj7t4Dc1LE0dUa0WLnNOZ1iHcMe26e3ppbenF8/zSNku+7oHOK61lpnNTQghiMUGGRgcpK9/AMdL0VrnZ74Z5sTpUZ5e38HDf91DMjPxyE3eAzSVSAF0kEqPwQCqKv0FUgCNi1WrVnHxxRcfsSk2L4B8Pt+IeSsTpdLeonzKKxQK8cADD/Czn/2sIuvmv1gqGWaeSARo+fLlfPSjH+WnP/0pv/zlLwvVCZX6InYcZ0ICaN7MWgxDy4oDIQ4OOXU8+mNp6utDhaiHaWgYug///BZs4Wfo1b3EEjZuTgyouennadujLlzcOLDQHDGSNVULDgouyF7ES3lqTEMj4DOoa4hQ1xBiV3svDWmXiD+Xjsv5RUoJMsf1ctVYpb1Bg4kMkZBVoo+RYCCeobYmSCRo4g8Y9Pcl6OocZFrIIJmxiZZpgHhQjJQ+pig5MeKOPiZI5/aqKEputpiGNb+R7v4Eu7d1Mc9USTtGYcArDG+AWH6OV8DKRrly8nbEfqC4zF9VFHyGjmHqNB8fYSCepqcnRaM/6w9SFYWE7RIKlDZdO65H0CqeSK8oCslUhr379uGzB+ju2EcwECQSjVBfX8+05ukEBlIo9iCal6G/f5C3LW7lrPkN/PzF3fxhc2fRucZDtXiAploA5VORUz2YdqIeoFJUkwEapAAaE67rcscdd/D5z38e4IjfmEKISZvcbllWRSIrra2t3HTTTaRSKfbt28fOnTsrs0kmTwCNNwJkmibXXHMNb3jDG/jyl7/MunXrCmtB9ou4Eh98z/MmJICOn9NQiLiInC8GsuIgkbKZNuoiXhON0twynR3tMVpbGwkGAnTtPoCS7MO1U6STSfqGUrQ0RYrK0R1X0D+UpjYSyIoVAeSWd3MelmjJirOsqXhaQ4j6Wj/hYDP9Aylebe9mRtQibbsE/GZxqX7unJquljnm4brlU3XxtEujrqLl0mI+UycS9bNndy99PUnmNql4nok6bO1CA8SgVdZ0bahZkeMUCSAPVRtZhq/lOlm7ng9/Q5ghSyczkKQxkJ2pZmhqrpN1cQPEwn4cl5pgXhwpIyJAjisI+PSyIkbV1KyYjfpI1AfZu7ufcMLBUrWsBypUHBXOi+BoCUGmKAq26+Izcqk8IYjHh4jHh9jf3k7SFvQJg5PnTGN663Tmz5tPIpGgp7ePpvooi2fv49GX97Cj88h+3Om6XhUeoKkWQNVSiTYZzRgrPbJpokgBdBja29v5wAc+wHPPPVeR9SZrcClMXFiMrvL6l3/5l4qm1oYLoEquOR4B1NLSwk033UQymeSzn/0sfX19hWOV7iw90QjQ8XMaCgJgeETGcTxUVR1hcm5pbqGltYV16zez58AQ4YAgFPSjBiyE1UidYWKnhvACSWp8Dq6Twhn2RZ9tZOjQWJdfU6BwMI3VP5Rmeshfsqv04FCK2togpq5j6jqWqRMOWRzo6Keve5Cm2gCjdXmh+qmc/8fxsMr1MSpEag4ey0bAVJzpNQw4HvsTDrqeJuw38Od8MvkGiKFgcVTJ9TwSGQdDyZbrD49D5KNj5YzcCgq1ER8zGkM4nmDvrh6i6TQ1ASPrc/JKN0DMj/nIV7IpipLzXuWEipPt1Fyu0aM/J7IMPfufOa+OWNxm56s9pFM2titKjjLpT9slq+eEl+2fVFOm0WPGcRgcitPR4dDX3YFhGETCESLRCCcvPI66mcfzd+f2sGF/gv99ch0btu0sWuNQVEMFlmmaUgDlmIwUWCQSqeh6E0UKoEPw6KOPcvnll1d0Ps5kCqAjLZ0cXuX19a9/nb/+9a9A5Ts3u66L53kV7wY91vXOOussrr/+ep566inuu+++ol+b+X9XqkphIhEgRYH5s+sPipzhKTDXJRrJVg1pqsrcuXMJBoNs3rSJzq4efL4Qhu7ieQ5u2iadcehMOuzfO0A0EGT6wmZmtx5HJpNmYCDbG2boQC8KDBNcFDxAjuNl/UFlfENDKZvGYccMXSMa1lCooT/lcCCZxhhMUhOw8Ft6oYv1YCJDNFLKHO1hux61keKIU/6coRJ9jPIVY7URP82NIZJJmx37e5getvCbOq4Q2F65qJKgP5nBNLQR89YgK0YGkzbRsK9or3khFw1ZBPwmCmAuaGJoKM3O3b0ERbY6rHQn61x36NzBrAdaFB5jf8KmJWgUCRVPCDK2N6LqTlUUgrmeTfbcWna2D9IeT6OpEDB0zNzr43gejleue7ZgKONhaGqRsTpbHu9lBVlOzNm2TU9vDz29PQwmbXozCqfMb2bJwgaWnPI2djn1PLP+ABs3b2HdunUluwIPpxo8QNVgxK4mAVTpCJAUQK8B0uk0t9xyC3fddVdFDbswOaXw+Q+sZVnjFmvDU16jq7wmw1w9GRPhDxex0TSNyy+/nOXLl/Of//mfrFq1quTthBAV694MEzNBz2qpIeDTC16d/C95x/UYGsoQjgYIBQMsOG4BdibD+vUbSNsZkimbabUmish+cSmKgs8yMHSNoTqLvsE4z/x5LXOadtLUWEdzYz1z584lWt9MQ2ucgG6TjMdBHPRA246LaZWfKo+iopd4nJquYlkGrbPqcByPHXu6aYmYBCwDhCCWcqivLV4zY7sMxm1CAbVk5+hkOmc4Ljvk1U9N2EckZBEKWXQdGIC+BJaeXa9UdMN2PTw3K97EKAXkuB6xlE19TekO2P3xDLU1gcK6eSHi8+m8uqePeF+2k7WqqAUhAlkxYhnasFTUwRRYtsdPmYn0rkdfIkOzvziKo6oKPkNj7sxaApbG/vYYvliKOr9BwNRzHanLlc57ZIQo3cvJE/TnmkCWm8umCZuB3m7iA725mWkmS+qDHHf+G7jiiiuIxWKsX7++MEgzW2F2kGoQHzIFdpBKV4FpmiY9QNXOli1b+NjHPsa8efOAw/f2GS+TUbKe9xaNV6wcrrHha0EAHS4CVFtby+c+9zlCoRA33njjYYf1Vbqz9JEKoIVz60cIjrwHyHGy5uA5c1s56aQT6ezsYt++vdkZXo5H/2CKGTM1XGdU1MAT2BmPluYaTLOB7s4BOrbs4UBnF5aukbAVmhrrqJ/VQmTO7GxPHNumpqaW3ljHIaMx0ZBVOjrkePgsnWjYj6oqBAMmPd1DdHcPEjI1HK+MAdp2STuCmjLn64unmRkuNeRVEItniESzUSUNqAlnewglUmE2bmwnpEE6Nwdt+IXccQV+n45hFL9eWSN3+bYC8ZRTVFaf7WRt4g9a1DWE6exPEBtMUevP9mtSc+NKosON5aOq7sxDjc5wRNm+Sv3xDI21AaJBE98cnXjSYfeuXuozLrbrZXv8lEzJiWwUsIxZO5FxaSxZySZyzTUPPhZNVUDYaMkejP17+cMfH+XVeIhZC07isssu46abbmLr1q2sWbOGNWvWsGXLlqrwAFWD+KiGJoj5fVQyBaaqalWNwQApgEZw3333cfXVV9Pc3My1117LfffdV/FzpFKpKR+HUS7lNZpKi5XJWPNQguXkk0/mc5/7HC+//DK33377mH7NVFIATSQFdtychhEX47wHyHE85s6by3EL5rFj585RHqZsqsrQNdxRmQTbyRmnfQahXPl6Ihlm3+4uLCdFXyyFpri4mSFURWXOnDn4A34aGpswIy0oIomhegwMDhAfimentLse8VSGULBYHHmewHFd6qJ+NE1BUw92sU7WBdm8qR1cQTLjYObMzAf36qLpSklztO0KPK/cyA2PWMKmrm7kl6zP0lEUiDZEMEyDXf0xWjyvUDYvyEadakMWplb82juuR8BfJgLmetmZY2WO2a5geq6TdTxps3tnN41OdqxFX9KmcVjkqDCKIteNueYQlWyaXu6cB8eODG/i6Duuga6+JLt29DBLDeT6BA17fwmB47kEDIHqHsJ3VSYi1Z9ySjaeNHQV01A5c34dZ+saT7z8PDf/9H4CoSinnnoqixcv5sYbb8Tn89HR0YFpmsyaNYvdu3cXrXU0MAyjohW6R0I1jMGAbApsaGioomvKCFAVEovFuOaaa7j//vuBbAvvyRApMPXjMKZPn86NN944psaGkxGtOlopsPe+971ccskl/M///A9PPPHEmNerRPPCPBOJAM1sjiKGt2IWAk3XmDlrFkLzs337VhxnZKjedlx8PhPd0GDUDzfHdVF1rRCpsSwd09SwjmuhszPGYO8+Ygkb08yWr6fSKYQQrN+0hT1dSRadOIsZrY3Mn78AVVWJxQbpONDDrs4EkZIT3j16B1I0NoRGlNxbZtYD1NBSh4dgT88gtuMR8hv4zaxQsV2HSKCM+df18B3CHI1aesir62Ul5LTGMGpTmN6eIbp7BmgOW+i6Ql88zbT6ULZqbFQvnmTGyVaOldlPMFBeqCiqgpHvZG3q+BY20z+QZN+ubtIpe8RcMSXXB8jxsn6k+pridNPBUR6+svtR1eJqtXDARAAHYiEGVRVvMEW9P9vE0dBUXCHICB1LU/DKRICCvnKz1bKirVwPpMGUy7S6AGG/wXvOms3ZJzTx8z/t5JlnnuGZZ54BYPbs2Vx88cUsWrSIf/u3fyORSPDKK6/w8ssv88orr9Db21u09mQgU2AHmQwhJgVQlbF69WpWrFjBnj17Cn9LJpNomjYpb8R0Oj1p4zAOJ1aWLFnCJz7xCR577DF+/OMfHzbcXO2zu6A4BRYMBrn++uuZO3cu/9//9/+xffv2ca831R6gpsYIAxmF7v4k0XA2+oCiMHPGTF7d08n+PVuJhEb6PzxPYNsetTUBDH3kObONEz2iYf+IY4qiEPCbhMMWTdObsP06Ow4M0Frrpz5t5xp2erieQ2ywn1dTQyiAP+AnEokSDIV44xvPIhoUeE6KgYFBYrEYjuNgux6pjIuuFz9+1xOk0zYtLTXojVEGBuLs7OilNerD1FUyrobP0hj91BVmlZVLxzkewbLT2LNl4z5Tx2dlxUiyNkj7nh7UwQT9iQwtDcWvRd6MPD1YnHJzXY+k7ZafK+Z6hAIj00LhgInP1FB0hS2vdnMglsLQVAKWDigIslG8RMalqUyaaiCeoSZaPMoje87yc84UIOQzmNkcxvMEe3f3UWs7RCwDBfApGpqiMLrJR1YEukSCpXsZ2Z6H7xCNJ9O2i65lvVdhf7ZP0tVvPYGlpzTz4+e2s6srzq5du9iwYQOGYfC1r32NhQsXsnjxYt72trdx3XXXsW/fvkK6bN26dRWvTspTDaMwqkkAVfJ5FkJIAVQteJ7HnXfeyS233IIQYkRvn/yL7vP5JkUAHe0I0PCU17//+7+XTXmNZ80jZTJTYHPmzOHmm2+mvb2dG2644Yiq96ohBbbwuFbmHTcLhMfO3fs5aUELmYxLb28fq/+2nhmtNSXL0fsHkzSW7PHjEYuniUSCRVVMrufheILWlhpCAZNkfZjO/b0EepO4nkoq41AzbKq8ABKJJIlEkv7BFH2JDCcdP5OG+lqmT59eaPK5a89+eoeyPpbR2I6HK0RuppmJz9IJhf107e8j0xsn2FL6V2fW35Kmqd4saY5OpG2i4fJl9dGw72AEzMw2MjTnT6OjK0b81QP0JzIMxlN43shmhI7noZW5uPcPZZgRKi2OEimHSNAsiuIYukbAMpg5vY5oyMeefb3Uph2akml8hobjilxarbSoGsq4NJRLASZtIiGrTONJQThkEfKbqIqCtaCRwViaXXv7CCsKRsYlqsDo+IfjegykbELh4vYBnhDYjkftIdN1IyNShq5So5ssbI1y6ZJ57O1N8ps/78LzPDKZDI7jsH79etavX8/9999PMBjklFNOYfHixXzkIx9h2rRpbNmypSCItm7dWjHvULWU4leDAKp0FZjrutIDVA10dnZy+eWX8+STT5Y8bts2ruvi8/kYHBys6LknywNUTqyMJ+VVas1oNFrJbVZcVOVTYBdccAEf//jH+cUvfsHPf/7zIzavV0MK7ITjW4lG/Bi6zoLj5mMZAdp7B9jz6m4SaTub4io6l0sq45Q1I8eG0tTVFTchcxyPvr4ELc21WJaBaepY5jRCkRoO9KXZuX+Q1uboCIMuZIVTynaIhCwS8Rh7EkPs2bMH0zQJh8PouskbTjuF5vogiWSCgYEBBgcHSafTOPlUXW6vhqER1X34rEY6e3ykNYv+oQyeBX7fwZ40juuRzpQvxx+MZwiHS/cqGkpkK+eGX6TzHZ3DIYvZ86eBqtLnmPTFU+hkoxqOKzCN0p2jbTcr5Mpd+PsTacKRcuLIpb7GTzRoEfRPIxZPccDWCKWSDKVsgr5yab78GIvS4iiWsqktMXQ1KxAdIrnRIsqwsvlgwGTH3j5qhIeasvEctzDkFbJRJ7fsbDVBf9KmyecvWTrveCI36634vrqmEvSZXNhWwzknNrPPtuiOFX/fxuNxXnjhBV544QUAGhsbWbx4MW1tbbz97W/HMAzWrVtXEER79+4tWmOsyAjQQWQE6HXIU089xWWXXTbCPFqKyZzcfrRSYONNeY1mMkzQlRheOhzP8zj99NO58MIL+epXv8qaNWsmtF5VRIAWNOP3WSxceDyarrNhwyaamlroTKjYjksymcEc5ufJ7ttDN/Si9Ff+GKpaMh3lOB62c1BUKIqC32dQVxvCNC3SVoB9vUn8VnYCvc/Us+X4uXEcLYGRUYFMJkPHgU72dQ5SEw0Sb6knGolSX1/P7NmzSSaTbNvRTiCSwDK8glDNl+sH/RY1DQGG4g3seHUPLRGPgE/Db+rZaMKobsx5bPcQvYqcbGSkpkTJfT461lAbJOg3CTUF6NtokurpoyFoks441IZ9pUvDXS87mLXkfkR2dlqZ+w0M/f/svXm4ZHld3/86+1JVp/a7396ne/aeYV8VF+KCoKjoAyYGTBADKDg9CyGRJJholCcmefLExBAfY+ISlaCo4A8BZREURJh9pqeX27fvvtW+nf33x6mqu9Q5Pd099840Mp/n4Q/mdH3PqVN16/s+n8976WFlok5NyhDRVIliOcv6usjFrTYzJRPfD0bOu3estvtYSJAIyEJqnVGAKEsiKUOhkDfITZpsLHVobVQoGPIw3NX1AxQlmXdle36ir1Cj65Kz9IRxXcT9slIaWeBE3qDt9fibowUemkvm/GxsbPDpT3+aT3/60wiCwJEjRzh9+jQvetGLhnL7nfyhWq2WuNbeulE4QDcKCfp5DtDfk3Jdl3/5L/8lH/rQhxAE4WnjLA4SAOVyuX1fd2dn5XpHXnFrHgQJer8Axvj4OK961asAOHPmzDNKqh/Ucy2DL+TTHJqd4M4776TZanLp3DnCMCCXTVEaKxCKIkuVOo7rk0nrmLoSEYc9n3zWSOiO+KRTeuwx1/PR+j5BO0sQBHRdJZs1mZjI0Wh02VitMZE3MQ0lUjh5fiLganZcigWBdrtNu91meWU54tVpBh1b4vDhGaYnS7RaLRqNBvV6nWazRdd2KeQMvG4GRZmlstlgY73GRFbD9gIKWT0RyGlJXkV7glz3Hmt3PcZKIooiUS5kmJnJU7M05i+u0q13mB2z9nojRpwrzydv6Ynn1FU5NnTW9YMRoCJLIgUrhed6qEWLLT8grPUoptVhuGzkVu2TNa8QumqoiQAxCJKl8y3bZ7xgoYkuS5LD/PwmZdcnpUo4XkA+0ZE6TASl0bpe7LjOD0K6bt/put+RKmQMrEDgnh+4g6+e2+D3/+oCa7Urb8BhGDI3N8fc3Bx/9Ed/hKIo3HzzzZw+fZrXv/71vOc972FhYWHYHXrssceuuKnfCADoRpLBPw+A/h7U3Nwcb3rTm/ja1742lJk+XR0UADpoGfxg5NXtdq955LW3DoIEvV8jsBe/+MW85z3vYXl5mcuXL+8L+IH9HYFdj6nim37wH3DLzadYXVtlbW1t+N9dz8f1oVS2UCcLNBot5pbXmC5FjtDVepdSyRp50vb9gHbHxYrJ8Yq8gTzyWTMWVLiuTz6fppBLkbVMusUMKwvrmB0bURCQFCkRVCCMdj9832drq8KFhSq9bpXK5gqWlSWbzTIxMUG700NQ19BUJSJaey6aJtMtpFmcX6ex2YjUceHuqPogCHE8n8IVvIpSphoLRjyvL2MfvH9BQNMUshmdmSNjPHFhk6Wmg6ZJpPoKuYEhZbXtMlbSRvhIQRDiOH7fNDD+egw95nqEyMjQ0BUmx7MQhszPb1DSfTJ6pJ6rd10yMQGxw9DVJKDiB+h6MkAcdLNMTaaQ1TFOjlNr9rh4uYJre8yWU3unoNsu2InnDEFI5jLVOg5TO8wcBUFAUyQsU+Hm2Tzv+cG7eejiBn/815fo2lfXvXZdl0ceeYRHHnmE3/qt3yKTyXD77bdz11138ZM/+ZMUi0XOnj3LQw89xIMPPsiFCxd2PQzfCABIVVXq9fpzeg2w/yMw4HkO0LNdX/jCF/i2b/u2qwY+gzrIDtBBcYBOnjzJm9/85useecWtud8k6Gc6AhNFkbe85S187/d+L7/6q7/KxMQEMzMz+3p9z4UKTJZlfvzHf5zve91pFhbm8bzdT4C27RIEIbqqYJoamq6QSptsrFdorW7R6doUiqNPV67nU2/2sHKpUW6M51OrdymPZUc2cdf1cLyQlKkhyxIy9EnDUzSbPZ56/BL5TDQikqXdjs2eF5BN6bGmgq4XoGgysixi2w4bGxtsbGwgCBCEMm1HQVUVTp48Sa/Xo16vU6/XCRGo2QErDRdF7pA2I0dpUexnfLVsyqUYcnQQ0O15w5T7veX5AVZq1MhRFAVURSaXNZgYz9Bt2Wys15jK6lGsRhAM/Xbi1qy2bMbH0ongKJfWRsCRgIDreui6GnF1JAH95BT1Zoe55Qo5RaBte7FOzAOC+KSRHiUq9wFiLp3crVIUGVWVCcN+yKupRuM9WeKJCxusNe2IL7Sjq+UHIc2uRzajxgI9fyidjx/JuXvMHAVBJAwD/BBsL2Aib3L4Zcd41W1TfPSvLvDZh5dHMuWerprNJn/91389dH8fHx/n9OnTnD59mje84Q2IosjDDz88HJndKADoRugAHUQW2PMdoGe5Go3GdQGBbyQOkKqqnDhxgrGxMX75l3/5ukdee8t13X0HQI7jXDfAyGaznDlzhnw+z/3338/i4iLf//3fv2+ABfYfAF3N/SsWizzwwAM0m03On/06h2bzI6OlwWchy9GGocgSWctE1xTWdI3Npxap1LrIskQ2t/1E63kBAclclGgTjwMqPj1nd+DqQDYvCGCV8kiazPxam+ligKEraKqEH4S0uw7ptBbvYeMF/Y7T3kwtqNebbDV6SOIpzj75JLKikM1mOXrkCKXyJIXyYQg7bG1WuXThMlM5HUNXCIJIcp/U4am1bKZjnaMD2p3oWnfdn3AQq+FTyJsUsiZ+xqCTM1lbqqK0O2iigCCQmGRvez5KzH0dgKOJUmYUHIVRAGo+awxBZQREJNIpnbn5TTpel7btRQaDO4nKfoDjBYndlmrbZbw42q0afiYZHVWWdj0kKrKIqSvkC2kmSmmWV2tYvR5W3806yg7zKEoxpOsgpOt6kZljAmDT9vCKBtQEzw9o2x7jikTaiIjab/uuW/j2u2f4nb84xxOXr8zfvFKtra3x53/+5/z5n/85Yj9H7/Tp07z85S/nJ37iJxBFkde97nWkUikefvjhfRfBXE3dKADoIEZxzwOgZ7nK5fJ1ve4gAdB+gorByCuVSvHZz35238APHJwP0PW8/5tvvpn77ruPxx57jF/4hV8YPpnsN6n6mSa476yrGYHddttt3HfffXzlK1/h9/7vb/Ef/t1bYkdVthsFoArsluiqqkzK1Dl6fIZUSmd+cRnTbGP3HAxdibxxTC2Wq+P2wU9cp8ZxPBC02GNhAKIkMjlZRBBKbK5VCNYalPMmkiBQb9tYWTOm4xRQbfYoFTOjo7ogiCT3WRNFiToszWp1KFZod30ULcXJEzPcdutN1O+8laWFdbYWFum1a0A8yHMHQa5xYMSLOkdWNsr42r7ayOW62bKxcpF1gCSBIutoR8u0Ow5PPbZAShHpuR6yLO2J1Qiirlks5yrASeoceT7tXjjSUVNkiYwpUipbpPNp1hsdurUeeVMh1c+Li9Rqycox242PHYkAmUOpEI1BdwKgQbZaKWdStHSs1BjttsPly1uMuz4h4HOFSI6Ox0xqdFwXrRtGESo7AZAoEPjRMXGHDYAii2RljVPTMvf80Gk++/Ayn/zqPJv1Z8ZPCYKACxcucOHCBT760Y+iqiof/vCHabVa/OAP/iA/+7M/y/z8/JA/9Pjjjz8rwORGAECKoiCK4vMjsG/0KpVi3M2uog6SA7Rf6+5UeQVBsO/o+kbxAXr961/Pj/3Yj/G///f/5hOf+MTIevvZAdrvMFQxZjQwqO/7vu/jH/7Dfzh0q37Ji44jy9LIhuF6Hr2uj6qMZiV5fkC92aGQz2JZJilTx5NVLl5cZjKv0+jYZLPpmI5L9ORfyKfiN2rXRzdkXDu+OyQrCoahoqkKuqbQ6eZZXlhFcnq0Og4xD/24fkC35yYqtaqNLtOTMTJ2L6BSaZDKuFy65EbJ56k0+aJBoXQrG+td8s0a+VSI4Dt0ux2CMBjeH01TErlKATvJ0dF5B7lqzY5LobRHNq8rCCJY4zlkSebyVpOpbJQjZqhy//4E5LPJ46ZEcOQH2F6wKzB15+u6XY9SOY1Wtmh3HC7NrzNu+piaFBlEJnkg9dVx8eToqFMziM7YGQTrByGtrksmHY0zFUWKYjWMCWq1DotzmxiKgO+PzqW8IAIySYCs2rYp5YxdwFEUBMIg7KvDRpVumiph+jJHJi3+1T9+GV94eJk//tJFes7+eAA5joMgCPzxH/8xFy9exLIs7rjjDu666y7e+c53ksvlePLJJ3nwwQd56KGHmJube1oxzfXUjUCCHuxRz4/AvsHLsqzret2NzAGKU3m96U1volAo7NNVRvVcAyDDMHj3u9/NqVOn+MAHPsBTTz018m/2c2S13+slgSlVVXnXu97F7bffvut93XxiKlHh5PghmiLj+7ufel3Xo9W2GRuTkCSRTMYgk7ZwThxjaXGNteUGx1WVTEpDVeVda1br3fhujB/g+h6ZnERXigNOPoV8enitmqagKDLa8RmWV6p06ys0WjaCKGD0eTrROX0kWYrvRnl+JOVPULHVWzbZfPTjGYQhzVYTWk0cx2PucpVSOY/kpZjO55ia0Ql9l3qjTqOzQiGXkJvl+RE5OgE0hDFEbog6YGEoMDFmIU5kqWw2WV+vM5mLVHjVdo9SPp04ArwSWVuWBWQSxpWeF5koGtG4UdenqNc7nF/cJHA8psupEeA5ICrnMslu1YLYH3UKwq4OkOcH1DtR0v2gJEkk0yeUd92AZrPHSqNLOQhJadv8oAh4irHndPsO2nvvgSAIuJ7fN5AcHaFCBMqyaZ1yzuT7X3WMV94xxUc+d44vPHzlkOOrrZ0+QI1Ggy9+8Yt88YtfBGBycpK77rqLO++8kx/6oR/C930eeeSRYYdop2jhmdSNIIMf7FH7yYcSBAHDMPZtvf2ov/cA6HoR540KgJJUXgdBrj6oEdjV/BEcOnSIBx54gI2NDe65557EWfyNPgLb2wEaHx/nfe97H51OhzNnzuzyKLn55HQ8cdj1kCUBVVPY+0DmeQGiJO0CTqoqk82m8Pwy1YbDRiOAsEU2q5MyVCSp7yfUc+PVX55P13WZUuT4MVa9S6mU3QWcRDFST+m6yvFTR/DDgLnlDaZLJoYeRU94fkAuSarvBbvMEXe//2jcEiu59wMc10OWA3pBm6/NreHUu5ycLZLP5zh6023oaoAiBTQaDRqNBp7nReRou+9yPTjnzjR2L8BKJ1sHiKKArsvomjJUqq0sbkG3RaNtU8qP/u4M+D+lvBkLjlzXJ6VLhF78/ZFlaQgwJEkkk9KiCApV5omnVpEaDroqk9KVHUAkpNZ2yWeNBHfoYDiKGoSx7jwnxINHQRDwQ5idLaLIIkuXN8naPbKGgq6KfXfo5I5UnNO1IIi4nket68YaWgZBn6+U1lEVCUmU0RSZt3/f7XzHC2b5nU8/xVOL188PgkiMkOQEvbKywsrKCn/2Z3+GKIocP36cu+66i2/5lm/h7W9/O1tbW0N12SOPPHLdQaI3wghsQIC+XkPZpDWv1BF/LurvPQC6XlDQ6/UOBK0+ExL0lYwND6pbcxBrPl1X7lu/9Vv5qZ/6KT72sY/x+7//+1dsM9/oI7CdYOruu+/mnnvu4bOf/Sz/63/9r12fXyajMzWZi+X/OI6HoUuoyu4fo0E3Jp9Loyjb1zz4V6IoUB7LMV7OYTsu8wuLjOU00ikN1/WjiIIEMBIEkQPy3nJdn27PSXSjbjR7zE4XMQwVy0qxsVYhrLfIp1UqjQ7lcnZkIx5mfGXNeK6OH5BJ8DEaZHxpioKu98dx6RRnV6q0H5uj2/N40Z1HOXJogsnJSY4dO0an3WZtY4u16iKKImzLsPtr+p5PpxfJzZNiNSxLH17rMFbj2Dgbm02Wz69Qa/WQZRFD23aydr2Abl81F/c+ep6AKkt4QUzXzQ9ilWyKImHqKrliholyhqXVKplul1yqT1T2A1o9l3JhlHsReSC5pPrqMGGQxrrjeMpMUHF5AV7gkzZVdFVGPT4ejeUWNiiqIpWWw/RYesQdGqLxWDbGzFEQwHH9yCMpNtA2oNK2KRe2u2sDftCthwu864138JWz6/x/X55j6zr4QYIgXLUTdBAEnDt3jnPnzvEHf/AH6LrOrbfeyunTp/nRH/1R7r33Xi5evDjsDj355JNX3U25EQDQQUjgb7TuD3wTACBBEBBF8Zpntb1ej3w+v+/Xcz0+QFdjbHhQHaBncwQmyzL/5J/8E175ylfyoQ99iK997WtPu943wghMEAR+6Id+iB/6oR/iv//3/87nPve5kX976qYppMEmtOt6fKq1dp9ouxsAeX5AvdEhl7dGM778gF7PoZDPYFkmQRBi6Mep1ZtcWFwhrUmYhoYUC4B8NF2JzfHyfB9Jjnecdj0fv89xURSZXDbqkHR7eS6eX6BZbWNZafy+o/PONav1LuPjuWhcFobbYKS/SVsxhoMDAJjLmcPOmaJIZBUDXZNZ1TW2LixzaXGddqdNylDQdY2sZSFIKrfcehtjBQ0Ch3qjQbPfZXQ9n3qrRyYbz0dqdx1Sqd2drEghp2CmVGaPTiBpKnOrW0zlNAwt8g/y/ABRiO+ouF6AG4hossAeB4S+zL9LLpce+ZwH4GismKaYM7HSGq22zaX5DcZTfh/QCPFAtx/0mh2QwEVhiH8GAahJMRau76OpypCwnTIiIGToU6ysN1jbaJO3PUxVRld3q9VaPZe0OQouBUHE8Xx0TYlV17l+GAXsJsRqyJLIK++Y4jV3zfLJr1ziT6+RHzT4XbqesU+v1+NrX/va8Dcrl8tx5513cvr0ad7znveQyWR4/PHHh4Do0qVLid2VGwUA7fcY7kYjQMM3AQACkCTpugDQQY3ABgz7q7mmqzU2PAiw8mwCoHK5zH333YcgCNx7772sr68/o/Wutw4CAD3wwAMcPXqU97///czNzcX+29mZEu2Oja4raOr2+3E9H9seSLx3f19c16PZtimPxXdjqrU2M9OR/48kCWQyBrquYOgaT569hCG65LIGpq4O+UFRTpXLVFFFUXffh20Zeyqeq+T6GMZu5Ziuq6iqwsyhSc4FEkub3WjDNFUMPeIHuW6kjEpyla43ulhWjKrMD2g0e2Szo8BA7QetHj0xg6HLzC+sMZZVSZsetu3QaNtsVDvcctMU5VKBfD7PodlZgCh2pBmiqfEAsNF0yGZjOipeQK/nUi5mSKc1slmDrY066+sNJnI6thuQzWiJYESUhMQOWKvnUVaSojx6WJa5TVRWZQxDpV7rcPnCKpk++ArDcNc99Pzo+zSwVhCAcEAe93wqLZvZGBXXtgv27o7UYCznFlLUei51SaRb6VDOaEN+kOeHNLrR6DGubNcjH+ORtH2PpETOVr3jMjueIWWo/MC3nODVd83wkb98ii88tBR7rr31TADQ3qrVanz+85/n85//PBD9jg/4Qz/yIz+C4zi7/Id2/q7fCADoIGIwMpnRLMLnur4pAND1mFsdJACCCGF3u90r/ttryfI6iNgKx3EQRfGKc/FrrTjAcvfdd/OzP/uzfPGLX+TXf/3Xr+lc+90B2k8naMuyuO2223jiiSe49957r5hOf8sdx9lsONh2jWI+hdGXrruuh6ZHJOO95oieF/Q/nz3XG4Y7SMW7jymKjJnSMVIpxseLLG1VyCh2Hwgp+H5Ard7l0CERUdiTQ+UFVOsdisXRMZYfBPRsdxc5elCCEJ13dqqMZRm0Wh3WV9b7/CAlitRQt5Va4eBFRAAwinBIyPjqOBSLCcCpGbljZ9IGpqlTr7eYW9lkMm/Q7jnkLB3HsVlZXWVldRVZlrn77rtxXJdTJ49zeCaP5zgRmbreoN1pR+PBMEz0Tmq0HHL5DIosoWSkiB9UzLAwv0Fzq85MOUMQwt5Xe36ArogoMcRfd/A5J0j5mx2XQmEUiMiSSLNXpNOxWa50GcuGmJo87Ox5fohpKENAIQjbHSDXD/ETVVwB1abDWIKvEILA9LhFLqPjeD5Ll7ewel1ypkoQBlfMSGt0AxRZjPcr8iMAmZi91v+eSKJApj+ae/vr7+DbX3CI3/3UEzy1WBt53c7aTwC0t5aWllhaWuLjH/84kiRx4sQJ7rrrLr7927+dn/qpn2JtbW3YHTqI7su11kGMwG40BRh8kwAgVVXpdDrX9JqDBkC6ricCoOvJ8tpvfyFg+BSiKMq+AqDBdYqiyI/8yI/w/d///fzar/0an/3sZ69rvRtxBPbSl76UH/7hH6ZWq/HzP//zV+z2ZbMpThyfRtdVej2HSwsrlCyddEqn23Mo5jPIsoTn7XCqGYx/8rv5PxABCNf1MBPcmD3XR9d1SiWLQiFDu9Nj/tICYzkNCCO3ZkUaSYB3PZ9O12U8tlPjU6t1mJ6KT2NvtLpksxny+TTptI5lpVlf28KvNJClkEwC4djzfMwEHyPP8yPeRhKR246+G5Ikkknr6JpMJmOysrjF6lKdY7MFPD9AFaPXB0GA7wfMzS8gyBLdZpZcNoeVtRgfH0dA4MKlJUTFIm1CEHh7rmcgq9++ngE/KJgt8aQdsNLyUJQOmX4HTOo7Wbc7LpoqIIbxICfOrXpwb8NEonI0ATt0qIwsiyxd3iDdccinNXRFotsPepV3AqA+g8zzA3QtPujV8wNs10+8nmbLxsobUZcvCFGPj/Vl+5sYBAgCiW7WthdgqfGu0o2OS9bSE8ncmrrbB0mRRbJpjWNTFm98zU1U2w5/9NlzrFfj9wJFUfrfgf2R1SeV7/ucPXuWs2fP8nu/93vous7tt9/O6dOn+bEf+zF0Xeeee+7hq1/9Kg899BBnz57dt9/fq62DAGHXq8g+yPqmAEDXA2QOCgD5vo/ruondmuvN8joIDtDgSUhV1aftVl3LmrIsk8lkuOeeexgbG+OBBx7g8uXL17XeQajAnmlUx5vf/GZe97rX8clPfpKjR48+7ajz1KlZFEUmldLRdRVNO0Sz0eHcpWU82+Xw4TGAkfHF0/F/ctnRbszA4Tifz6AoMpIkoWkqhn6CWq3J5XOX0FQRx/PYmwDqeT6iJCYo1fx+qnw8UGm2bIrFHBB1g7JZGV1XqNUzPPHYRUoW/XDXbRC/HWMx6hwNEcjJppNUZT6SKO0aNymKTFaRCSYDKm2HzU5IuNEib+mYhoIqijiuR7XlMF5K4bouG5sbbGxuRDlVmk7XFZmZGePo4Ukcu98dajRoNpp4vh8L5CJyrUQ6rTM1WcB1XeYW1pnMqph69F2rd5zIAHLPpuP5Aa2uQzomyy16nwFWOl4953lRrESqrxbTTkzS7tjMX1onqwhsNnocm97O4hrI4KMRV3DFoNcrBaA2ey4FKRoR7uQHaeoEc5e3aHfatHsuYRiiKdu+V44fIEnJhpatnksxb44ci0j0yfYCohgB4JuPlXnJLVN8+quX+Njnz9Ht7QYVz1UMRq/X46tf/Spf/epXkWWZj3zkI3z605/m5MmTnDlzBtM0eeyxx4bp9vPz8wd+TfsdgyEIwvMA6Lmq62GfHxQAgmSwci0jr711ULldQRDs67qO45DJZPiVX/kVzp07x7333vuMwNVBjMCu93NPp9Pcc889jI+Pc//993P48GFuuummp33dLbceGoIKSRJJpw10XUUQBZ58cp7ltRpbW3WUHRwQ1/VodeL5P67r7eL/7KyIG9SiUMoPR32Dc8qyRKc7RavZYW2jQyHfxHY8NFXe5v/kEvg/Xj9sM6lTEzOq0zSFdErHsCwy43nmVzYYy2nUm51I8uwG1JpdptMxMRaeT7vtkMqMBrkOxiVJXCVREink00yO53E9j/n5FcqWQzZt0O25kUN2jHFkvd7kwuUtZqZq1KtrWJkMVjbL7Owskihxfn6NMbuLIgV0u91dpoKRcswkmzUQMEildKpbTdbXK1halLiuKhKdPQ/dgzFfLjfKOfL9gI7tJavV/CDqnvWJyqYR5Xvpp2ZYXa+xtdZmrOehqR66Ju+6d9Vmj7HSaJbZUJGWSQBHXt8/ac/9kyQRXZORVJnDJ6eotG02t1qMWVHavSKJ+H5IWpeQhdEHhiv5MkX2Aj3GY653cDyX0rD6fKbXv+oEr7xjhj/63FP85dfmGTyf3Cg5YACf/exnh6avhw4dGuaXveUtb6HX6w3HZQ899BCVSmXfr2O/zRhFUXx+BPZc1fWwz59NAKSqKm9/+9t56UtfetUjr6dbc79qv4HVXXfdxezsLL/xG7/Bn/zJnzzj9W6UEdiRI0d43/vex/z8PPfddx+dTofZ2dmr8r245ZZDIxu1LEvoukqpnKNczlLrBvi1Nt12B9NQ+ynmMfwf+qaCfnw3xvV82h0ndowlCFEnZ/bQJOVykaarsbJWp5AzkRWJWqNDoRDP/7F7LoX+qG7knK6PlTHix3FegJU2KZeyFPMZavUWlaZAtd6h1e7hOH7C+wiot3rk8qPESs8LqNU7FAqZWMm963oUC5E6LiTE0DXqtRZzq5uUJ2ogCLFjFtcPIndjWcL3faq1GtW+j1MYitQ6Ajcdn+LQzCRhGNJoNKjX61Sqtb6SzRjKza2MEUn282nOn13E9QLabRvP3TNW67tVxxGnXS+g3uyRick5G/oc7fFdisaBGraTojVVoC3LtDZaTORNurYLfYDTS4zOCKm1HPJZM3EUNeAfxR0DkULWRCqk6HQzLC1uke72SKsSph917KQwPlk+FeMOPVjXdoNEcnmnty31B4ZBr299/R286vQ0v/+ZJ3niUgVJkm4YALQTfFy+fJnLly/zJ3/yJ8iyzMmTJzl9+jTf9V3fxbvf/W6Wl5eHYOjRRx/dl279fnOARFF8XgX2XJVpmn2C33OfBr937enpae6//346nc41jbz21kGQoAfr7gcA0nWdd77zndx9991sbGzsC/iBgxmBXSsAGnTuPvrRj/KRj3xk+D27Gk+hfD7N+Fh+ZJP3/QDH8SiP5SgUMpQn8jTqKk+enyOXUgEBK2OO8H8AXMfFNJL5P5FMPR6o+H5AKmWQy2XIWDmWV2eYv7xASoHNSotiOTe6pudTq7eZnCyOPIF7nt9XKcWP41zPp1DIoKkKkiSiaSpWKc+FSzqXFhf6asmYqAUvMkdMGo21uw5jCd2oar3L2Fi+f60C6bSOpitkrBRd0aLT82h3og1I2+WePeAjjZ6z3emyuFhDU1y2NldJpVJkrSzlsTJj45PomRqS6CDi0Ww2CcIQVZURRYHCWJ5QKNIUDBqVdTzbxtSVoWFl2kzi//j4CZ45nhdQa/aYTscbCgYhzE4VSJkatpNjbblKpelRa9k4ThS2mmQ82e65jMUQz30/oG27WAkdKdcL0LUoBkRVJFRFQjs2TrvrMHd+BaPlEjgOohTu4gj5fkDXdcmlkt2s5cQctEjqP8h7G5Qii8iSykQ5zT/5gbtZWm/yt+e7B9JNuZZSVRXf9xM5P57n8fjjj/P444/zu7/7u6RSKW6//XbuvPNO3vrWtzIxMcFTTz01BERPPfXUdXGavhmS4OGbBABdj/zuIAHQAKw8k5HX3hoQ1vZbQrkfbtAzMzM88MADVKtV/st/+S/8xE/8xD5d3bZz8/V4PcXVtajAJEnirW99K695zWtifYuuZq1bbz2Coozmf3mez2alweRkHkkSh/LyIydmqNVanH9yntnJIr2eg2Fsq3F8P8BxQ/IxaqwIcHjk81Zid2hAnBYEyKQNcvkMmn6cleUNmt06rUYPRZIwjG3uiOv6OG6QSEauN7oUCtmRY57nU6m1KJdyw26CokgUi1nGJotUm20qm1XWt1oEQYBhqMNzeF5Apj+2i1tXEqUE1ZRPr+eNquNkCcHUyOSyTB49xHq1jtZqUczqGEYk1+/ZfmyS/eB6UqmIrB2GIa1Wi1arxdLyEt2eR70tcMdth5manEFWFFrNJvV6nbX1Tbo9l+mpAhNTRVq9JpceWWciG/F22j2H7BX4P4auxGd8ecEVo0VqjS5j5SyGoaDrMqahIRctLlV6CI6Npo+6gEfr+oiCmAg2onDZeNDlukHf7HKbdG0aCpom4R0dQ8pZLKxcpqT6GKqMoUZ/F54fUm25zKZGO13RdzpMzkHzAsIrqM46XY9SPsXMuMUr7tYRMhUypkqz89zI0K/197vdbvPlL3+ZL3/5y0CUfTkYl333d383mqbx6KOPDvPLFhcXr2rdb4YkeHgeACVWr9dDFMUD8WSwbZvXv/71HDly5LpHXnFrwv5/cZ+pG/QrX/lK3vWud/GJT3yC3/md3+H48eP7OlIbtKxlWd6X9321HaVsNst9991HOp3mvvvuY3V1deTfXA0AuvmW2YSxkYfruMNOTRiG/TayThgGaGkTVxS5ML/GzEQBw9DQdSXquDQ8dCMuxiLyBiqW8yPX5fs+3Y5NoQ+OBlJ0SYrOmc1bHDo+S0+ESwtbTI5nMXS1f85BjMXV83+i9+jT67mxXSxJEvG8gCMnDqHIEvPzixTSNtn+KK3dsbEy5sjGNpRLZ834Lpfno6hy4jhOUVUK+TTFQoZOx2Z+YZmC6WCoElu1NjNT+YRxk5tI1rZth3bHYXl5mY2NNXRNI5vNYmWzpNI5MvlD6IpDvpBhvJ3Dtg9Rr7VYXNrA7tkcOzTa2fWDgK7jk0+MFvHRjWRytG17QzApCAIpU6NcyjB7dJyzF9dpNLrkUjamHpk4Dt6z5wdYmfiOlOtdWeJea/QolzMjXUJJFNFUhfHxNKE/ycrSBuubDSazOoYm4/pBshWCH1Br9yjmRuNFBsdThpI4Quw60X0wNAXLSpHNe/zye7+DP/38U3zyry/ixQS9HmQ9U/XV5uYmn/nMZ/jMZz6DIAgcPnyY06dP88IXvpAf//Efp9ls8vDDDw87RDujeHaWruuJ8UPXUwcR1r0f9U0BgCzLuuZMk0H7T9f1fQUU09PTHD58mFqt9oxGXntrp2JrP+t6R2CyLPOP//E/5tu+7dv4j//xP/K3f/u3wME4Nw/Ot18A6OlAy8mTJ3nggQd47LHH+Pmf//nEH6yrWevWW47EAgDP86OOx45jg00oCEIyaYPJ6SK+H7C5USPYbDA+lo2etAORdAyIc12fTs9hIknGXm8xk0kNIxGEHceazTblchbT1Oh0sqyvbSJUWhTzKTodJ9b/Z3DOaFQXf05FVuI7R67X32wNNE1F04/SrHeYW1qmkFZY22xx3ErHSu7rjSu4Jnt+MlfJ85BEUJXIk0hTFTTtMK1ml/MXLmPbPcbLkS/Rzk3cc6PNfTo9atYYGUt65HPb4Khn2/TW11lbX6fe6OIFMrecOoyiKNx0/ATTk1NsbG5xPrvA1x46z1qlhapKmDvcuT0voNboMj2Zje22OK4fnTPWryhA3eG7BAzBrqpKqKrM+OwM7a7D+nqVyZyBqUd2Au2ORyqJAO0Hu3yFdh3zAnpucgxIq22TNhTyWROBAt1ihrWlCkq7gyKQOOJy/ZCO7TMec2zgZp29Akk88lca5KtJZFI6Y/kUP/jtt3DT4RJ/9fXLfPXxlZHXHlTt5wN3GIZcunSJS5cu8bGPfQxFUTh16hSnT5/mda97HT/zMz/D4uLiEAw99thjw31vvzlAvu8/zwF6riqXy13za1zXHSqC9gsJDzKuqtUqn/jEJ/YN/ED0Zb9R4jCKxSL33Xcfqqpy77337uqO7DepeicA2q/1rgRa/sE/+Af8xE/8BL/927/9tDymIAiuuNb4eJ5icRQ4+H5Ap2uTL2xv1IMO0CA0M59PYxhapK7RVbpdm6XlLfyeS65QAEbHt57nI0vx3Q/X9fsE374aaM+xdrvL2FgWVY1MGQfnvHRxkVatybEj4wRBgCjuiD14Gv6P4/oUCnHAKZJh66YWRYBIIumUga6ppNIGS4vr1FoVul07klfv6FC4rh+p48oJI7d6h3IpP+I0HI1ofBRl4OMTgZx0SkfXFFx/hvnLGyyut6ORpK6gqdF5XX9w7xK4OI0uM5kYcBREn7OmwdraCuVyMfpbCcHKWtxyy0mmZo8TBF2WF1ao1zbRFA/TUKLoDD+JqBzxf8bH9XgVl+eT2zPKG94/P0DRFPK5FGI+TaeQYW1pC6nVwdIlNps9srlRKbofBNiOF+WVJZCRFVmO78S4Po2ug6rKhEE49E7Sjo7R6tg8+dgCOTXyLZLE3QT1YbBqUtRHy45VEW7nq+nDaxLFiCcqSyKGJpPNqPyTH34B37PW5Hc+8QgXFp5Z0OrV1EG6QLuuy6OPPsqjjz7Kb//2b5NOp7njjjs4ffo0//Sf/lNKpRJnz57l4YcfplAoPD8C+/tShULhul63XzygvSqvb/3Wb933Tg3cGIGod955J2fOnOErX/kKH/7wh0f+iA4iugLYtzV9349dS1EU3v72t/OSl7yEf/tv/y2PPvroVa11JQB0662HE7o/HtVqk+mZ4vCHe+Cw63k+1UqTQmlb4aRpCqoqI8sSly+t0ux0kasBgZ8agqQIcHgUClYsWHRdj3R6h1Ir3N4UI1C47f8jCEI/4kJm5tAkT3RcltcbKIpEytQw+5wktx+OGsf/cd1R/s/O++b0VWU7748sS1iWSbeUxQ0FanZAa7VOOW9iGtH1eEOOSsLIresldqOqtS6KLCGKsJNOJogCmipz7PgUuq6yubYF1QblgolpKHhuZAGQmI8WhInRIbV6d2geKQgCvudTq9dY39xgY7OFZWU4cniKW28/gSDcQn2rgdtYx65USaX0RC6X7fiJnJhKrUu5lNkFAgUg8CPeUM4yUfrAU1EktKPj9Hou588u0O3a2LaH3ydp71y32uoxmVITeDrBiCJt+Nq+maOmqsMoDkEQMPoeSZlSFt1Qma82mcwEmJqM0SeQe17QzytL4EElulmHNFsOlmUM34cgbPMIPT8gbeqUciYFy+Dnfupb+MojS/zBJx9nI8FIcT/q2YzBaLVa/PVf/zV//dd/DcDY2BinT5/mrrvu4uTJkxw/fpzTp08PO0TLy8vP6HzPA6DnqK431HQ/AFCcyuulL33pgSm2DqIDdDXgQhAEfviHf5gf/MEf5MMf/jB/8Rd/EfvvXNfdV9Jy9ES7f2O1uA5QqVTi/vvvB+DMmTNsbW1d91o765ZbDyeOjfz+E/POEoiASqdnMy7v/k4LghDJs8OQ2UMF2s0W5y+tMDNZxDR0RFGkUmlSnijGAo5OZ7dxYuRhI+zoOI2OjURRRFFkymM5ymWLXsdhbWGLmfEsuq5G4LR/XaP3Jpn/4zoe9VaXTGY0h8rzfBzXY3qqhGlq9HoOS/PLZLQe2YyO43jkcql4kOMHyEpykKvjesNMtL3nrNRaTE6WyGZTmIZKt1tk6fIyKaWH7wVkE/g/0Sgz3sl6SFQefke2laqeF1CttTFNfZiLFwKipICaJtREbr1lnFLeJPRtmo0mrXZr6NekanKiQq5nu8h77o8gCjiuN3Ts3gYFwrDbNXVojNX1Jos1m4CQtKFiaBFB3PODyEE8wSOq1uhSLKTjM768ACuto6rSCFUhCEIkUWR8zIIxi1qtw+pqhZlcNIZrdGyyCQaIkZt1Qpq9H9DsuhTy22MZURQihVw/6yzXN4IUFQFVkXj1Cw7zgpsn+fMvXeRjn3sS295/x+jnMgdsfX2dT33qU3zqU5/il3/5l/nSl76EIAi87GUv421vexv1en0Ihh5++GHq9fo1rf/8COw5qlKpdF2ve6YAaDDyGhCAByov27YPLGbjueAApdNp3vve9zIzM3PFwE/Y5iopirJvVuv76QW0F0zdfvvt3HvvvcOO1rX4hDzdCOzUyZmEcVQUY7FzkxoEWbr90NC9G1j0Oh+EkFwujaaJGKZGrd5hZa1KMZeh3uwyORM/gqjWmmR2cmoi/NPvjDQoFjMxxOmAbtehXLLI5zN4GZ+0ZVDZqNNb38DUFQxdTRy5KQmp8rbjxeaYQXQ99VqXbNbCMDQ0TUE7eZh2u8fFi5fx7R4TE/mRGI8IyHnk86nYe+d5PqoiRwGwIw7YwS4/okHAq3bTYaq1Fk8+dpEZIqNBw1CGm7wfBPQc7wrKMR99R3iswPapo5Hk7hGXAIS+S6vT4uz8CumUQSmtc3S6wNTMLClTp1arceHSCshqIhiRZAllz2cpIOC4Ls22S7E4eq1hP1X+0KESmirTqHeitPu8hqEpOK6PpinxoKvPgxqPORZJ5z2yGX2ooNt1vX4E5jQ1+p+hKWSzJhvrNTrrdTpdl0x69Lf0atys2WPYKAgiYRj0jSBtyuVtY8XISDJSrL3mJYc5cqjA3z26xF9+ZS7WpuF66yDUV9d7HZcvX+ZrX/saf/iHf4iqqtx8883cdddd/MAP/ADvfe97uXz58lBd9vjjjz/tdT/fAXqOqlwuX9frrhcAPZ2xoW3bB4KGD6ID9HQjsOPHj/PAAw8wNzfHmTNnaLfbT7se7C8A2k8voJ3ePa9//ev5sR/7MX7913+dT33qU9d1XUkAaHqmQKdr0+nYmKY2/HeRw3GP3B7H5TAMozGW41EoxJN4Pc8fSsNlWSJjmWi6SjcTxR+0uzbdjo2mKqg7E+ddjyAM9wCVcLvj1OkyPp6LfX/VWpOp6UI/7kFGUWQ0TaXZTHH2sXnSKYV228Y0twnd0ebkJZKRHcdF19X47pDrEbB9raIoYpo6mqYCh3j8iXmW15rouhIBEl2JpNReNG4qlnKx/B/H8cjn02iqshf/4Loeuq7tuh5RFDBNDc/zSWWzSGmLueUKk8VoLGb01XG1Wpep6Xj+j217FPI7wJEQ3ffBZ5mkrBOIiNrj43kEAb765ALSI08xO1mgUMhipPMcPXEUK61RrzdoNOo0Gk08z+s7ZI8CMkEQcByvz6dJAJ7NLjOWiZUxMAyVjGVS2aiztlZHFiBlJhsVinKCLYEfmTnm8xH5PtgBgAamlYUd16soEllFQldLrJsaG+dW2Wj0UGQRQ9tWew1ATJybdfR+gshfacf1DjpAnh8B17j3AiAKIjcdKnD7iTKvfcUJfv//e5SvPf7MxkODUlX1OQ9ChVEfoJ3p9RApq++8805Onz7NO9/5TvL5PE888cSwQ3Tx4sWRDv/zAOg5qmcTAF2NsWGv16NYLF7XNV2pDqIDdKU1B4Tg3/u93+OP/uiPrkpptxMA7Vft9whMlmXuuecebr31Vj7wgQ/w1FNPXddaV+IAnbplCuQe5y4uMjM1RsrUMQy1b9TXYtYq79o0Bx2MSqXB2NgobyaSv7fJ7ImGGHCDimULI9VleX2LdqdHsWD1vYUi3oyV2QO4APodJ1mWE8CIj+t6I6M6TVPwfR09pZMrZ5lfqZDPGOQsE9PU8P2ASq3NWDkfm2Pmuj7ZbCqxa2LFxF8MTBRzuTQTE0Xa7Q7rCxUmxzIYukoQBHS6LhOJ/J8201PmiHP3TnAUBwyCMKRQzDA5UcIv56lsVVlfrDBZThGEAW4S/8cLqFTbTE0Vhp9zpL7bJhQnxY64ro+mK6TMqHukaZP0eg5PXV5BXdygUu9w281TzE6PYVlZpqdnOH5co1qt88S5JdKhgyztbnQJgkDP9simjUTJuB9sB70qskTWMtB1hXrW5InHF8h7PumUGinBdpD3PS+Kzohf14/A94B8v6Ob4vkB1UZvhK8EoGkyKUNlZnaMnGUwv7hJUfewBuDTD+j1u6V7y++bOe41bBx2gLzIWDHWWdoLqLdtpsYtrLSOoau858dfztmLG/zuxx9hbumZEaWfyxHYzno6OX6z2eSLX/wiX/ziFwGYmJgY8ofe+MY3EoYhjzzyyDC/bHV19XkA9FzVs0WCThp57a1vlNgKiCctq6rKT/3UT3H33XdfNSF4UIO05f0EQPs5AstkMkxOTtJsNjlz5sw1z7l31pUA0G13HGZsIofv+dQbFVZWA2amxwl8n8APEsdGdgx/Y3Cs0WyTzZu7MqiiYx6tVpfx8SyqJtPtuFycX6ZcyJNK6dTrbazsbsIxYUgYBLiuQ74Qb5zoeT6plJE4UtI0hVLJoljMRCOqyxtMlC0EQaDTdlAm419nOyGKIiMI4cixVruHZY0Cg4G6qVjMUSxa+Lk0nXyWjdUNhGq17+icnBzf6+0kR4c7jnlD/s/eToLvB9g9h0LewjBURDEih3cKOdZXNmhVqyAIsVy3wYhr5/UIRGnsEf+nw+REfuScA37KoHsWcXTUSLJ/4hAra1U6W11qjS6CsI5RqUY+O5qKJOsoqsmxo0fIWSaNRpNGvU690ehzeEJSaS3xs95pRDkoTZUxDZVUJk1+Is/CRoVc2yWbiYJegzCk0bTJJkVneAGmqQ65VwMS9OCcvZ4bC4QH9gLlUgYro5FKazQbXeYWN5iwfHwvynNL8iuqt3pYmd2GjaIo4PsBXhCQT1CzuV6A627zttQ+UDp98yTHZwv85d/O8YnPP0Wldn1xFN8oAGhvra6usrq6yic/+UlEURwSqF/96lfz9re/nV/7tV97ngP0XNX1GCHC1QOga83yOigA9GzI4CcnJ3nggQdot9vcc889VKvX/sRzEEqw/VjvBS94Ae94xztwXZd/9a/+1TNy5obkKAxZFjl+YgJNUxANFU1X6KYd1jbXqFcd0ml9ZNMckJF1XYlXjrkeAtGIIC7F3embKhqGFm2Wuky7aXP2/DquHXKTafZl7Ns/+o7rU6k2KZdj8r/8/qgunwxG8vk0mqYMpfqGodFstFmaW0MUJVzPG3KbBuW6HmEoICsyYbCbb+W6HrV6h2zOiiVH12otcvmIqyRJ0lCu3+n0ePLRc+iqSLfnIEm7jRk9z++ThuMI0Lv5P3vPWa11mJw0hkBF7ZssqsoEC6LE5kaVza02QQCmsR0WG2tUKGzfO9eL714MulXj44Vd4EgUhWgslTY4etMRBFFgbmmDqVI0rgrDkGa7weJqA6e7QaGQI5u1KJVKHD5ymFqtxVYjoJjPIwjeru/fwOgxicvk+yHptEGpmKGQT9Fqdrm0uMa45SFJAo2OTbE4+vQfreuTs4yhv9HOr+6wExPrZeRTb/awsilkSSJtSuiqQiqtU9tqsrC0Qilr4HsBoSzu+r54frxhoyCIOK5LrWlTKJjxhG0/QNd3E8wFQUDXZIIg5NhsgQ+8+zv4669f5o8/8wTd3rVli91IAOh6fYCCIODcuXOcO3eOj3zkI2haJGZ4vgP0HNX1Is+rAUDXk+V1UCTog+gAOY6DYRgAvOxlL+Onf/qn+fM//3N+67d+67oBwn7Ea+ysZzoC26lg+6M/+iO+8zu/8xmDH2C4xl7F2/GbJtB1ZbiBKYqMko1+VFutNRotm9UVhVI5F2VP9cdUjuPt8gYa1GDTzObT/U0/+m612+3omNvnk/SBk9h3d9Y0BT/wuXB+hYWlVRRVwtA1dF0lDKNMsW7PSRx/VapNZjPlWDBSr7XI5lJD4CRJIpmMgaoq9GyPaqXOwtIWYQCmGZGZIdrYJCVSlzm2O7JudL/iO2Ctdo/y2LY6biDXh5BMIY+hK1xeqVPOOWTSBoapRuRfxxuR3G+v6/WJyjHHPB/bGVWyCYIQBWv6IcdPHkaSJebnlyhnFdJpDVWT6fVcCiMjrmgE5ro+uhbP/3E9H9v2E80za/Uu5bEc6bRONpdma7PO2nKFiYKB4/iRYkqWaLfbtNttlpdXkCQJ3cigpsY4duww+ZxFs9WKukP1BrVanVqtw/R0fMSF53kUCilUVUISFXRNwUzp1GtNluaWCTy/H0mxG+x6XkC10WUmE6kUd/J/wjDE9ft+RUp85ygIdoMYWRax0jqyKFJp2HT8gMXNNmM5PVKyDUwk/YCUMZrpJooituPT7jmMyaObdTQO7btvx3SzgjBA1RTKpTRv+M5bedWLjvLHn3mMz3zpwlUTpW8EErSqqtG92Ccukm3biKJ4YNFSz6S+KQDQ9YKCXq833Pzj6mpHXnHrfqN0gFzXJZfL8da3vpXXvva1/Jf/8l/4m7/5m2e05n4HmD6TEZhpmrznPe/h8OHDvP/970eSJL77u797X65r8H2QJGkXALrlttnYsZEgioQCTB/KI0lwcX6BUj5PNpvBMG16vWg0FBc4Wq02yRVMZmammZqaGp6vWq1x/tw8Y4IwAhwGnZnp2SKWZbK6uYbgK0xMlPpPoi6aqiQq1cIwjO9SuD7NVpdS2Yq5KyGO6zBzqIyiSCyv1VAqImOlLJqq0Ona6JqE50o4e35/B9ygJO+kSJYfw9MJQsIwoDyWQ5wo0Ki3ubiwwWQ5g6JIbG41dwW5DvZhP4gCafO5eP6P5/kYZvzIyPUix2jLSqFpKoau0ai3mFtYpZhVWN9qcnh2bNdnKQzO6fqJ/B/P81H1BLWVG0ncFUVCkSUUy4y6i12LpYVVqhsVpifz+EGwq6Pn+z71eoOSkePJs/NkUiaWZWFls0xOTlGtt5D0DdJmgOfZu5SQkUVAh3J521wySpzX0TUZPxRYWamytNlCEBhK6qN7FOCHEXARBIEw2Dn+Cqg3bAr5VKJ03kzFK90QQFIkpg8VEQSRlYUN9FaboqWhKjJd2yMbkx0mipESTpSSs85qDZvxsdE4j+j+R8RqTY3UjZom8+NvfCHf+YoT/MEnHuGrjy6NXuueUlX1aYUkB10DoLKfZGxdHzWjvBHqmwIAQbQJXetTfRIAutaR1976RuIAiaLIi170IqrVKvfdd98zNsOCG2cENjMzwz//5/+ctbU17r33XlqtFkePHr3qMNSnq50AaOemccstSfL3aNSSzhgoitzn69hcmKvh+xKalkr44fXpdR1O3nSacrnM3Nwc1WoV0zTRdIN0Js9NJ49hGAr1ep16o06r1YqM+GotsjmTXD6NmdLodh0Wlpfo9VwQDDJWcuBoJhPP/3G9SEGT1KVwHA/T1DBNre8o7XB5eRNDVqg2OrwARn4sXdej2epiZeNdpT0vSFTHRQ7PkTpN0xR0XSWdMahWG1QubdDrOoyP5dk7O4w29/iUe98P6PX5P0kAUTd2OFmnjf55TZYW19mqbTJWsiNAMHCyFqLXVasdJiZysfwfx/Up5NMjxPPB9cp98DMoTVVQFZlwepx6y2ezESCKLXKWjqlHIzjPC+g4AaoSdVR6tk1vY4P1jY2oQ+ZBKBhMTc2Sz2fpdXv971GD9bUtevZouCz9z1BE4OixCTRVYW15A7nRpJQ1MPtEZV1X+lwmcZeIwvUD2l2bsfIofcH3A7qOSz6RKB9J/VOmhqrKaNok3a7D/PwaabFLpd7l2GwxdkN2HL8vyU/wUHK9RE5S1/bI7pDdK7KEkpHQdYW3/ciLuOOWST735YtcvJycOK+q6nXRCvazNE0jCIJ97USZ5qh7+I1QzwOgK1Sv1xsxUbyekdfe+kbhAN1+++183/d9H61Wi/vvv3/f/iAOIg7jWjtAL3/5y/npn/5p/vRP/5T/+3//77Bjsp/gbCcAGlQ6ozNzuDiyYQRBiOd65AupvhtxJLPW+xt2s1vD8SFwu/12srrtUSKIvOglL8RMGTz++OOoasT5aLfbrK1tMje3yqmTM4xPlslmsxw7dhxJEllZWafR8EmlonUGjtK6puA4DtVag3qtTTplYO7odHieT6vVJWOZIyBnwFXKJeVt7eAxbTtKK2iawsZGndpim0ajQ7fTwfe3OxWe59NodigU4yMutraalMrZEfAaBAGu6+4aHUaO0il0XUUQRC5dXGJlrY6u63R720+9Ucp98ripWm0zHSdx9wMc26VQiHOyTmGX83Rsn5oj0l6pUS6kMAx16PPkePGAIhpxtRkbK4yAo0G0SD6fGTU5FAQkWSJtmcxMF/GDgPn5JUqWQyalIYjQ7orIUkyAbuBTqbaQlQ7nz/dQZHnYHTp65AjF4jiZwgwpI8S2u3S72+Rf1/OpNbscKWZIp3Q0fYpu12Hx8ippycb1PSwrCrQVRGEXAPI8H1GSkuNF6j2mU6P3fjviwhiSxE1DRdNkNG0m+o5ttGm0bVRFGho5AvgBtLouKVNJJGyrqpzcHWr1mLFGx4SqImHoCredmuSVLz7K1x9b4g/+9GHWt1oj69wIHKBnGsgaVzciARq+iQCQoijX/MXa2wG63pHX3jpIDtB+fdHe+MY38qM/+qP8zd/8DZlMZl//KA9iBHa164miyFve8ha+53u+h//8n/8zX/7yl3cdv5oE96utOAB08y3Twx/mnRVFXLQolDOIO71JJBFNVxAQyGQFLs1V2disMT09hq6rFIs5JiZKbFU2uHhxFVEUdt0L1/XJpHUEESqVCpVK9PRpGiZBKDExMcHxExOIItQbDer1Os1mE0UJUDUJQXU4P7fA1MQY6ZSOYWh9MnILKyYTynU9qpUmxR1RHdv3I8C23RFJ+QDspVM65QkL5IBLl9dJpyIvH11XcV0fgfiukut6dHs9ZHlU7el5yURuWZbQdZVjJ2bQDZWlrRabWx0ajQ5G3+MnyYvH9XzcK5g1VmotpmfGYsGRH4QcPjyBaejYtsPK4gp6vUu12qLTsdG1+NFOpFa7Ev+nQ7GUHRkZbZPSM2St6PfB0I7SaHaYW14howsEooksx/vlRETvSK7v+T6VapVKtUoYhnQ6HmYmy6HpWXK5I3i+T6PvPbS0vIYgiqNqtZtmqdVaXHz8ErNi1KlJp8MhABpK5y0j/j5cKXutH4abz+8Ow5VEkXRKw3ZSlKbGCVIqF9erTOd1DE1BV2U8P6Rte7FhrgN/oEJCnMfQJiBWERnQbjsUcyb5rMGrXnSUu2+b5i+/dIGPfeoxWu1tsHEjcIB0Xd93AHS9QqSDrm8aAKRp2jXPVgdcnWc68kpad7/Ltu3rlvwPKpVK8TM/8zMcPXqUf/Ev/gWzs7N8x3d8xz5dYVT7KVuHq+8AZTIZzpw5Q7FY5P7772dpaXQmf9AA6JZbZxJ5M92ek3is14OjJ3J0ulW6XYfVjVWmJg6TThV45JEnkWWXbC7a3LbjFKJOjZVNIe350W6121SrzWhtZ4t8LouVzXL4cJRKvjC/TIjC7OExWq0OrVad1YubzEyN4/seYUjiRhy9j/hjW5UGU1Oj8m7P8+naNhOTBcYnc1RqWZYWV1lZ9ZieLNDrueTy6cQcr8irKCH/q2cnE7krTSYm81iWSTabQTA1Li1Xyac1HNcjl40/p+t6GGaCy/XTgKNqtcnU1BimqWEYKpp2mG6nR7Xb50Qpo52YwWvVJLdlN4ozifU58gPq9Q65vDUEBcORXNrg8qVV8MOo89Zz0feEyzpuvC2D5wWsrFcpBQEXLjqIfaWPlc0yMTFBKlNgbPIIhg7dTptWqwUipPpeUKlcDjFjMbdURVE06q3usINTb/TI5ROk826AbiRkr7k+rY5DuRzj/xMEuK7HzFSedEqnV7TY2qixtlZnMm+S69iEJAOrSj3ek2jw2RimEguePN+n0bbJ9c0eBx2p7/32m3nFCw/zJ59+nE9/8Sk8LwojvhEA0H4mwcONaYII30QA6Ho6Lr1eD8uy+NCHPvSMRl57azCqEoTdbd9nWs/UCfro0aNDYHDPPffQarWYmJjY124NPDcjsKNHj/K+972Pixcvcv/99+9q1e+s/cwqG7x+Vwfo9ngCdOQ2rCRwanxA7Ds4R1yWU6duQpZUPveFL7K2XOGmk9OYqd1qJdf1aTTa5HKjowLP86lsNftE5ZBqrUa1VgNAVVR8X2FyqsQLXnAXnuexubnFysoGi5fX2FxpY+VS+P6osifi2yRFdXh4rps4GqvX2kOlmGWZeJN5ulmH5dVNNtdbHD48GfE7dtzPIAj6Ia+ZxJBXVVUSzukN7QEEQcA0VUrlHEdOTFOpNJibW+PIrESq3/kajkqG/J+kMZ+HYeqJ3SrX83cFyw5UcJl8lm6osblRI2WqEUDqjzqH/J/CFfg/qpQACjyabZvy2O5jsiyRMnXMjEk+X8SWLRaWa4wVo5Gcpsp4foBhxDs8u55Pt7f9MBN5/jRpNJtc8nw2tlpMTIxTPDbD5MQ4oiTRbEbeQ73eMvl8homJIn4pR9eDjZpHrdEDQlodm3Ic/ycIsF2vr6BLcJ0W4/1/BqOzyUmzPxKT0XWFbinL2vIWes3GdhzMmJ87zwvoJQTM+kFkungl76AQdn02kiiSNjUkUeTVLznKS190lM98/ikcx0n8bXq26iBGYNns6Oj6RqhvGgB0PSSsEydOcOzYMf7wD//wGY289tbgy7XftufPBFh8x3d8B//0n/5T/t//+3/8v//3/4bA7CDiNZ7tEdhrXvMa3vGOd/CRj3yEj370o1cEnUnKreutneBsajofq+4ZbKj54mi3YSBjT6V1FE1GVhROnDiBgMC5c+cwzADFDFleWcfzfHLZFJIUnc9zPUCIb8u7Ht2EMNJGs8XaapOZQ2M8+OCDZDIZstkst99+iptOHOexxy5Rq9apVtvRZt/P5AoG8Q6FeEl5ZJyox3cTXA/Y7ioJwrY9QBCGbG41WN/axPcDyqXsLnuASqUZqZD2bE4DImexmEnsHEVePDs2JkkilTbwgwAjY+JKAhcurTI9WcQwVAxdHfr/zEynYkdcvZ6T6Bztej6GPgqOJEnEMDQM02R8sojt2KwtbDI1lkHXFSRRoFJrMzF+bfyf6H0GkbIpARy1uw4nT+YYnygyduQIK4ur6I0GuYxGuxMFhiZ1s2RZTnRM3qq0SKWNYTagaRhYWQvLsjh6LM3hoyG6JtBstnBcj3Q6y+bjIu1qFcfx8GP+/jwvoFLvMjUxqioajs6yZqKHkuvt7mZpqoyqSEhSGSmVpVWp4deaZDMBpr4dpOr5UUcv6b1W612mpuKVTp4XkEnrseAoBEJB5OhMnp/8h69gbErn/BP7+8B5rfVMPIDiShCE50dgz3WZpnnVHRdVVfnJn/xJXv7yl1OtVvk//+f/7Ou1DL5c+z1rvR4S9OC9vvjFL+YXf/EXh1kvg9pvz56DWDOpAyRJEm9729v41m/9Vn7pl36JBx988KrWGrz2WoJPk8r3/aG54C23zaCo8d2PSqXN1HQ+nhtUbZHNW2iayq233kqz0eTS/CU81yMIYXa2iKbL2F2bC5fqHPJCFEXAdjxy+XjZ+ICMHA+OfILAR1UjUFOv14eO2L4PrZbP8ROTZHMW3RZ02z0IHXp2h8pWnYnJ0RGX7wexGWewzVGxsmbs9YiiQDZnMjlVwPcD5i4vUczlyGbThGFI72m8iiYmCiMRF8Muzk6wJghDDXwQhBSLGSamCsNumbNeY2o8kpF7npfogF2ptpg9lACOunayWq0vq8/n0whChoyVobJZYW2rgpXSaLXjR3kDtVq5PJpzNri3uVw68R6FIahqRLbPZVNo2izdjs2lC5fpNJocOVwahqHuXNd1/cgiIKFrGbLbs6nT7dLpdpl3Frm8UOHE8cMcPjzF9NQUumEQBAEveendnH1qnnPnLrFZ7SAgYOwYd7l9T6FYQOsHNJpdstl07OjM9YKI0zVigBg5hKfTFrOHx2m1TeYvrVDOeKRNBV2TomDVK/B/vCCMBUd+X81mpRNCWT2/b2IZ+SfNTqR4y/ffwrEpid/7k68xv/jsK8L2e18SRfH5EdhzXVdLDt6p8vqP//E/8s53vnPfr8XzPHzf3/fOyrVmgY2Pj/PAAw/gOA733HMPW1tbI//m2YrXeCYVB4ByuRz3338/hmFw7733sra2dtVrQUSa34+noJ2coiNHx7F7UdDnzh/oCMj4sT/qruPT7djk8zkM3WBhYYG1tdXomOtTq7aZmsmTSkdZYpqh0HOazF1qIAQiE1PZUfO6fop7vhAvKXddn0xGH8YT7Kx2q8P6WhXD9Kg3N5AkFVXW0dQcJTMHoUmhpAE+7U5nCChc16NWbTETIz/2vIB6vYWVAI7c/ogrkzGgrxzrdHpcuLSIqRn4fhj75L1zxLW3PC/KVZue2b6ewQq+79Np98gX0kN1lqYp9LoOq+s1OvUOsqzsyq3aeU4/CIemk3vPWa21mZmJB0eO45PNRjlnoiiSzcp9m4A8F8/N0+15tDs9FFna9dlEPKeE9+kH1Opt8vlREnh0TVG2mqJKw3GmaWjomop/ZIYnzy6yvNFFliRSKW2Ydu95AbVGl2LRSuTEZDJJFgoBvZ5Ht9dhYWGBBWBsrMz4+DiZTJpbb72Vm2+9Gd9zmDt/iXprC032MI0oYFbX1cQRV7PtxKbZB0GIY3vkc6M5chABK1lSsDIGqhpi6IejaI2lNUoZma16j6mxhPfqB1cky9ebNpY1OoYeXHM2Yw6jNUxTJ5vRecGdsxw/UuLTXzjLZ/7qKSq1zshrD6r2ewQmiuLzKrDnuq6mBTcYlQxUXpOTk1c0QnwmdVCxFVe75otf/GLe85738Jd/+Zf85m/+5nDjj1vzRgdAe9c7deoU999/P4888gi/+qu/ek2kwjji8jOpQSK8rIjkxjPML2wy7QWk0hG/QxAFXM+P5MCxG5jPqZtPMj09gW3bQ/ADg05NMNwMREkkldYRBBHXczl/dg1vyUXTNEwzitwQhOh81WqLyemYTo0X0Kh3KI1ZuxLjYUcwaDGS6hOC7zm0HZut7gZbmy3cnsLp9M0cOjxFKm3QbrWo1+ssLa0SECQCg2arRyHGONF1fapbTUpj1lAdZ6Y0dF1B1VQW5tdpNRxarS4Q9u0BtqXzhp7g4uz6+H4Qy6dx3ej+TM1uB5UOLAJkRWLB82nWO6ytVykVs/1QWWn42lQqQb3k+sOxUdw98DyG/LNBaX3Sc3miRDeXYbXSo9N1KGRTGKaGIksRp0hNIoF7tNoOY2Px3apWJ9qcFUXe1R0XRQFVVRgbz1Mu5ej1eswtrDI5ZmIaGkEQ0uk6jCfwkdodGyuTfB90fbfSLQKALk+dO8/5i6vceutRpibHuOOu2wgRqW9UsFtr1FpbFPJibLK86/kICWaYrudTrXf63cB4grmmS/iu0FeM6ehaFK2xtlphrVojZxkYe0jiETfLS3SHjhyr4wNxXc+n2e71va36f8Ni5Idk6Aq27XHrySle88pTfOHLF/jjTz5Mp3vwBOn9HoHB8yTo57wsy0ocfw3GQC95yUt2qbwOyq9nsPZ+S+GvpgM0kIF/7/d+L//1v/7XYZpvUu03WDmINXd2gL7ru76Lt73tbfyf//N/+PjHP37Naw0A0H6p1IIgQBAEjp+aojSRQ1Ek6s0eq2s1pqcLyLJEtdImlx99MhUFgdmZw6iazPLKElNTU8Nj22OjUTNCSYpcaPMFg8JYmvXKJqyLTPR5LFEQZ0LHyfNotTtMKHl2jjwg6lRVqy3KO8AIRJulpiuIsoCacjh76VH+7sEHOXniCBMTY4yPlzFNi/LYJLoh0G63aLfaw79H1/WRdhgnhnvO2bVHR1yiJKJrkSv29JEc9U6FtfWA6amxYcp9t2vHdrmic3qYKT1xjOXHdOSiiIuIHH/o2BiyJDG3uEYxlyGbSaFpCu1uL+LiJGx4qZSRqFYLwzBhxBXQ6diUxjLoWpFOp8elxXUKGZ1MWse2XQoJnKPIFDCe/+N5PvVmh2wuHW28O+58ZFngUCplyefT+L5JJpOisllnbXGLjCFFUnQpvqtRq0emlXsrAtGjVggDeoLrRiDGdexh1zYMBSRJwZEsNEtjvKCRz2p4To9mq0mn0yEIohT3XCYJiERqtvjOUQTYNFWkt+P9yLKElTFwXYtqy6UlKLRWm0wUjKGjtev5VBs9Jib0eJNSLyCdjjdW9LyARtuhUNj9txQEkbggCEMmxi1KxTSv/wd38OqXHufjn36MP//c43jeM+cnJtV+j8DCMHweAD3XZVlxtvyRG/B99903DPfcqfLq9XqIongg5lQHAa6ebs1sNsuZM2fI5/Pcf//9LC4uPu2a3ygdINM0efe7382LXvQiPvjBD/L4448/o/X2CwANRmCnbhtH1xX0fvhpL6WxUW/TqXZwbJeMpe1SVBmGzvTMIS7NrbO0fJmJqRLCDkDieQH1WodMVh81VfR8bNujOGaRL6TxLJ9ux2FxeQ1N0dFUGUNXErsfoiiiyBJ7O/Zu38U56am+0ewwNZ3HMFRSaYfFtUXOX7jMeLlAs9nlyLFJjhUPMTkxgSAKNBoNqtUqjUY34uIM1t3pCOz6aP3Oy8g5vShRPeI5SXQ7Dmtb64SeRLGQY229wtGjEzHjJp9Ox07kI7muRzptJKjKfAJCMhkzUuTpCu1Wl/OXlilmM6xtNjhxUzr+nG07ERxFnaEBZ2b3g5rreti2g6oqGKaG2jfHbLV6nJ9fxevZzBwaG1lzp/9PIv8nCIey+71GhJVqi6mpMqIo9mNGopFcO5/h/Ll5XDeg07URRHEYbzH4XCKbhHiAXa21mZw0R8JcgyDqkGWt1B5wFBIEDq1WmyfOLrMxliVrqBydKTA7exhdV6lUqnTPLaLqCSpDL8rpiidHR95Bmqbu+u4N7qEgiMxOF8hmTRzbGzpaF7NGRED3wnh1mB/Q7TlkM0n8nwBB2A1ORUEkDIKhn1Eul0ZVZFRFRtdk3vyDL+I7Xn2KP/zE1/mrr1wcWXM/ar9HYGEYPj8Ce64rl8uN/LfByOvjH/84v/u7vzui8hrIEQ3D+IYAQFcCK7fccgv33Xcfjz76KL/wC79w1S3OAWF5P2Thg9pvAKSqKq94xStYXV3lzJkzsVyma6n99gISRZGTt04PN3FZlkhbBpqusCnA1qVNlldqkTGfoTI+UebY0aM89dQcjzz0CIePlSDcHQ/huVEae6E0+sPiuB7VSouxyVx/lBGNR3RdodXqceHsIsVcjk7XxkAdbo5BEOI6UbBlEjna0JVYIrfn+oR+lA0myxKZjBFJjDMOyyurbK61UXUR2+6iGyqmYZLNZslaOU6csBBEB1kRhmRriLhKju3GBsBCtIGbqciLZ6AY03WFTtfh8vwirabDWDs3dJve+bpqLT7I1XW9yDspQdLseT6ZtDGMuEil9Cjp3oxGJbVGi3ari6bKu8Zxg3NmrHhw1O3ZKIrYj6bwR86pG9uZbJIkkkob6IYKApx98jKLyxV0TcEwVHQtks5HarUWhWIumf/TBxvCDgI4bHsZ7QUxqhqNUY10mvLEBGv1Bmq9SqmQwjTUoTJvwGUaPWeA44yOhKIkdo96o00uF/95I0CxlGFsLI/n+/zdEwuEDz7B4ZkilpUllx9jdqaAoctRkGujQbPZjLo/thcTPrv9XgMENFXeFcg6uEfVWpti0cI0orG1pk/R67ksza+C3cXzg73N0uF7rTV7zKRH3aEH57Uy+hCUCYKAIIp9v6JRPyNZlrDSEroq88OvfwEveeFxPvP5J3josad/kL2W0jRtX6X4vu8/3wF6rmunQWDSyGtvHRRZGQ7GDDEJVL3hDW/gLW95C7/5m7/Jn/3Zn13TmgPgt58GXa7r7tsTwe23385rX/tatra2+Bf/4l8kcpmupZ5puvzOsm2bQilNacwa+fGVZBFVkZk+Moamq1xeqXPq+GGyVoknnnyK5aV10pmI5xHntyP3N/695breiFJGEKIxlR8EqLqMmhG5NL9KIW+RzUa+L4EfUKk0Ir6NKOw6n+8HdLoO2STitOeT2TOOG4AS1/VpNtusbW7S6dqMlXI4tken06Hd7nF5foM7Th9namqco0eOoKoqMzMzCILE4kKFbH50vOD7Ad2YLo6qKSiqjD3mEAh1lldXsZ0os2swGnNdD4IwdsTlOC61WotMNj7lvtnokMmYu147SLrv9dI4jkez16JyscnsdBldHzhZR4q9xIiLWqv/nRt9n7btkI+xFpAkqe8GnmVsPBuNVjfqTI3nMHQVPwhodxzGxxP4P+3e8L0ICLuaH67rYRrJXkYDldz4eI5Ox2ZxYQlL75FKadTrbbK5TDL/xxh1uhYEAbvn0mzblEq5kdcNXMQL+QymGXkyGbpKp2tzcWkN9/wKna7DnbfOMtWPfDl86DCqqrC5VaXnLiDJAZIk7G3y4Hl+FNWhabsCWSHqHEVcp22QMnC0Vo5Ps7i0RXu9SqXWIQhCTH07RsP1fHw/THaH7jqk0+YO/k8/jLffARIS/IwEIfKFuvmmSU7fNsvZ86v83h/9LRcubYz82+spXdep9T3B9queB0DPcQ0A0Pj4OG984xuZmpq6KmPDp0uEv946CA7QXhK0YRj89E//NDfddBM/93M/x7lz565rTdhfi/b96gB9//d/P29+85v5u7/7O3zf3xfwA/sLgHq9HkduKsdvfH35e2kiTzZncvvtpwhDic989isIvoPdcyiPW8hKBIAGe2PgR347+UK8BNlxPNKZeL8d3wsiqXUpQ1gM6bRtLlxcZmIskop3O3bixlWttpiZKYx2MPrE6dhxXBAiCDB9qEAmo2PbHpeWVsim0uTzGVzXQ5IFWu0Wl+ajruSdd9xJp9PBNFK84AUvJGOJ+IFLvV6n0Wz2870iPtL0bMz1+AGu5zM5lUc3VOyew8VLi5SLBTIZE9t2sbKjOWbRvYusD5I6Ts1mh1x+FLx7nk+3azMxGSnyuh2b1a1N8EQmJorYtkPWSiXyf3w/RNMURgNZPbYqdaamR99n0E+rL49lKRQsLCtFp5NmfaMGGw0MXSUI4h27Xden1uiQK0TUgJ0jsEiu75BL8P+JzC6VYYabpikYxlHa7R4Xz8/RabYxTGNXlhv0k+4dN5LOxwEg2+2P2pIctHcH0w6I6Zo6w8pqheriGmubTVzfx9zcijqqmoYoaZhpixPHJkmndBqNKKqjXm/Q69m0uw65bAo1oQMkSdLINYmiECnnBIHjJw8jCnBpaZXxnErKVNH1yETSNLVYd+iBOiyX2wYGoiAO75PnBeQT/Ixcz6fT9RgfV0mZGqdvm+Xk8XG++uA8H/mTv2N1vT7ymmupgzBCfB4APcdVKpUAqNfrfOlLX+LDH/7wVRkbdrvdA8ntOigOEEQdrsnJSe6//37W19e55557aDab17XmwAtnP0dWz9QHSNM03v3ud3PLLbfwcz/3c5w6dYrbbrtt365voNzaj3IchyPHy4kbn+f5pNMmt9x6K57rcf78eVJ5g3rFZ3G1jqyIaLqMphlDDpDbN/8bn8iORkq4Po16NzbFfaDiyhZSaJqMKIr9zUul1eqwttBA0+ShQgq2N0bP9SKSbsIPctI4brBxlcppDFPb5kB1HS5cWkREJpfd/bowDKhUq1yeX6bRaHPy5iOUy0VmDx1CVVVazSYLC8usGvXE6JB6o4OVLQ4DZTVNpd3q8NS5DYRQZnxi1B4gDKP7M+AUja47sEhI4EA1OuTz0UaqqjK6ESXdzy+u0G7YTE+PxwoxXDcKBVVVZaQ7sa0cS/CP2mowNr496lRVGcOIbAKeemIBWRTpdHr9jLidPJ2+SeZgXWF3hEql2mJ2djTLbBAuu9PLSBRFTFNH01T8o4c5+9RlFlfriKIQuWjrO0dyo/yfQTmuRy6X4FvlxQfTCkL0vgRR4sTJI6ia3A96lcmkdXw/oNmusbbZxu1VKBRyWJbF2NgYR44cZatSwwkWMfX+d31HB2horJggnfe8AM8NyGZTfcWYQb3W5OLyBuN5lVbbIWuZCaPUgFDYDbQFUYQwUpU1mj2y2VTi6DIyZZT6gcIKmibzypee4I5bp/nUZx/nzz/7GI3m9Sm5DiIK43kO0HNYnU6H3/iN3wBgampqxOzvSvWNktwO292ab/u2b+Otb30rH/vYx/j93//9Z8TdiUih7r5HV1zvehMTE/zzf/7PaTabnDlzhnq9zvHjx/c1W8z346XK11Oe5zB9OI+oxLna+kzPTnLHHbfRaNRZWFggDEE3VJyUTiqXxtd0zl/cIgxlpqba+H6A5/p4rh9vquj5NJtdcsVR5/MocLVNcSw75KZIfem8rEi0mz16dsDlyxtIkkSrn800GHHlEowKXcdDksRE3pDdc4Y/9IIg9POvooDXc08t02530DSFVCaKnBhca7vdI50x6HRaXL4c5fhpmoZlWaiqzktf/kLyBZNOpx11hxoNfN/vR4cwlNyLkoiZ0iKlmijw1Nll7MUemqb2JfURV8d1fWwnMiNMMmuM8shilFquhyDsdt0edCgIQ56sL7C8tg5CuGscF42iumSHHanRDoSZEKvheT52jM9R1EmCtGVipFQW1irkWia5bArD0IY8o51Ab2cH6MpeRj5b1Rbj48WRzVmSRFRVZnamTDabotPqsH55i6kxC91Q8X0fx40H0UEQ0Ok4pAwtcdOP+1wGx1qdHuWxHKapY+gazUaHuaVlylmNnuOR74OJZrNJs9lkaWkp+hsXFGRZ5djxaQCOHT8efZfqDRrN5pD/E2us6PpofTm/JIlk+vlqlpVmdWWLhZVNTihy1BHSdue7eb5PNrObZyaKIkFfCReNAkeFO8O0+z2gbJAxFgQhp26a5JUvO8lf/c05Pv6ph+j1rs3Q9fkO0N+jevLJJ3nTm9407DhcvHhtzPmDGoEdBAdoAHT+0T/6R/zyL/8yX//61/dl3f1Wgl2vyuqFL3whP/uzP8tnPvMZfvM3f3P4fp8NY8XrLSMdRtybcPf40PN8UkaWI8ePsLq2umsUG/Sdhsem8mSyJinLoG6HbG65VLai+IlUnxs0cu2ujySLKDEmhp7rY9vxaeKDOIXyRB5JFlndarK12aVe6yKKUK22YmM8BhlVQ2+gPTXwfNkLjgYjBF1XmZzK0vObrF6oMDVZpNHs4NhOxMWxdnNxbNtmZXmVpcVNrJzB7KFJstksU1NTHD9+nGazydzFRXwf1BF7ABFVU8jmTcbGLKrNLZZXI+m8aWhouoCXGPzpU6u0yBVHn8qHnYIY1+1IOi+RyhhMTRUIQp+L84uUCwUsK4UgQK3WolCw+iBk+7WRWq13hVGUh2GosZ9nlDofROnw49Foc25xg3Ihg6GpVKotiqXcLmA6kMG7nk/K1BM/T9uOj1BxXY9Go0MulyKfj4wrrVyarc06qxubpPqmkklgotvz4se2fkCvF/F/kpRlA5WaJInDoNdU2mBjo8qlxXmOHZLo2S5G3wsLBsaUdepNG1XuUnjRC2nU62Qti5npaWqNFsjLmDqEobtrxD6Q8xf3qPoUWUKxTDw/YLPWpe4rdFcajBfMSDqvyXheQKsT8X923uOB0OTp8syq9S7FQjwoC4KAdEpnYizLD77+hbzmVTfzp598kM98/uql88/7AP09qc9//vO87nWv493vfjfveMc7OHr06DWvcZAjsP1cd2xsjPvuu48gCPjFX/xFHnvssX1be7+jK651PUEQeNOb3sQb3/hGfvVXf5UvfOELu47vJ2DZ7/XShWjT7fa2AZAgiExOTeI7GvOXLxGyR/Xj+lQ3m5SmIp8gWZZQFRU5rbLecNhc3GR2NhdJ1iVxOE6I3G598oUUaoKE20xpCZ2agCAA3VSGKeGBFrC0UcXruHQ7PXLZmK6S61PZajE2kdnlDQTbcRO5QjL3JZszyeZMEMBMuTQaNTY2Gqyv13FsdyTFHqINr9Hqki+l+3yOBhCNfnXdhFDh9ttvoVC0hlyPRr2O47qRq3QxHXnbZAO6HYf1yjqBI1EqFTHNQuK4qdXpUZ4YDXWMRjtN8oXRCIZB56hQSGNlTQSIlGqtLufnKljpFN2uveN1uy0AKtUGM7OlWJ6TbXvJmWOuh9IfiQ14Orqu0m73ODe3gt1zSWfTQ57OoAM0iCy5klxf0+Jdjz0vCt8tFKJxh6LIQ+l8K5fm3NnLCEHkuYMA2g5lnuePjoR2rluptZmZGlVT7e7M7VFMWSZBGLC2UaAbaswt1pgqpyISsyb3YyqcbSPIIGB1bY3VtTVEQcAPJHxfYXZmlkIxR6fToVFvUK/XqVRrVOsdJifix3mCIDA+kWO8nMX1AlaX1pHrDUo5A1GEWsMmm9sNCkRR7HMZk/PMXM+n03EZH4vJFet3jwr5NJoeOXbrmsI//JFX8Npvu50//JOv8sWvnB953d7abx8geH4E9pzU3XffzUc/+lFe+9rXDn8kr7W+EUZgL3jBC3jve9/LF7/4RSYnJ2m32/uy7qBc193Xe3AtIzDTNHnve9/LoUOHeN/73sf8/Hzsevs9AtsvDpBVkBBlhW7/gUrph5lWK03+7sGvUZrIjkROuK6PF+xWj0iSRDafIZ0zWV2V2WoHtC5uMjOVRTMUdF3pk6qblCeySLK0i+MWjZRsrNwoJ2FoqriDfyErEoWixfhUnvXVGqubTdbWa4iSiGGow2t2Pa/fgUsmTk/NxGScudGoLmNtK8fSGQlNV9DSHlvVLdqdHt2OjdhXsA3WcF0fWRRGzuk4DrVak4vnVzlyfIzxsSJWNsvE+DhHjx6hWq1z9ol5QsFBkkPEUOxL51XaHZul1RUKxTE6nd4w/mL7vUTdiSRw1G71GBuPB0eV6m5wNJDO64bC8nKVVrtNq9Wl0YhGnNvv0yMMkjpSHltbdaaniyMb8IDrVShsj+sGo07dUPF8n7kLyywuriFLAqahRyrD/jlrtTaWlYnl/9i2S7FoJX7eCKOka1VVSKVCNNMgX0ixstVGr7cpFTIYemRj4HlBFHXhxvN/PDeeBxWZLnbIF6z4v9kQSqUsU1NFPM9nY22ToBIl3gsC1BtdLCuF1B8/DcoPAirVJo4XcO58D31RxbKyZC2L4yeOM962UY11TB0C36G3AzAM/H/yuTSpVPSQq2vT9HoOS5eXEbxurKOzKIrYjnvFPDPP63d4E+5Ftd6lVMoMIzsGZo6GrvCWN72cRqvHI49fWTb//Ajs70llMhle+9rXAtePQA9yBJbNjv5gXkuJosiP/uiP8oY3vIH/9t/+G5///Od5yUtesu/GhfvdAbraEdjs7Czve9/7hv4+ScDuRh2BjU/mEERvOI5KpVIR+KnWeOzRJzDTo0/Sg/T3tLVbUj5UgYWQtlKUJvMEQcDljRZK0GBywhrmHQ3IkbvfU2ScOBWTSeR5AdVKGyufGfnRlZUod2r6aAlV15hb2CKX1inkUximiutEXjxJ/B+CZOJ0s9Eln9/dVVIUKXLONRSKU2lWt6pIGyITk4XhuCeK44iXWXuuj6pJyJJIs9Wi2WqxtLSEosjIooYsqRw/eRjLSlFvNPp8jzohIZouoxgOS0+skzJMiqVsnzMjRf5IxSQ/Ii/yWkoAR522TXls99/6IP1dkgWmDmdp2jU2txpUq63IV8iIUufjyOyDdf0kN283yjkbkKN31kA+PnOoTDpjUG20WFmtUi6No2nRvQ2STAz7XkYTk+WRcNkIRHvJYyo3Cv0sFCxKpSy9nsPlhQ0sQyZt6gShiZlWCIP48ZiZ0hLHX62Ozdj46N9rpJLzyefTfel8BN47XYfVhVWcToNu14nAnyjuIkB7nk+t3qZYjDLUXNdja2tr6DFm2wF+qHN49gilUgHXdaLuUKPB+sYWtXp7l//PgPem3XSYlZUKG40VqvUOAmAaUTagKAg4tpuYZzbg/8SNoqN74dO1ndjfLlmWMHSFcxefPhPxm2kENnqXr7K++7u/m//1v/4XAI8++igvfvGLyefz3HfffbuUDs/2saSSpNFN4WrqRh2BWZbFBz7wAV71qlfxwAMP8PnPfx64tjywq6395gBdzXqveMUr+KVf+iW++MUv8u/+3b+7YlfrRh2BTR0bp1azqdfaWFaWU6dOsbq6yrmnzlPZbCIr8qiKywtoNjqY6d2S8jAMCfwI4GTzKXRTI22ZlCYLaIUC86sd5i9tgSAQhMGoi7PjIYhCwibt0e06o4Crfz3Vapt0xsTKpRibKRFqKhfmN1leqrK+3iCVGpW/D7pKe72Bhu+zH38Rd8x2PHwvJF9IMz5lkS5qLCytsXB5g63NBqur1UjFtgesBX2vmMgeYG9XzWN1fYPzF87xxBOPc/bsWbqdDuVSiTvvvJObbjrJodlDjE8WmD2SR8/A/OUVVlcrVCoN1teqqH2Oya5zDvLREiI3PNePeCEJm/dAbj42biGbNmuVNeYuLbK5WWdzs0Y6Ey/Xd10P0xy979AnR9tuYsxHtdIkY5nk82nGJ/OMz+SodzssLFfYqjbRd3jZ7D2nbcfzdCK1XxPTVGM7MZ7nYxhaX6Wmkc2mOHJiCiOf5cLCJhuVNp2OPVQfDmrA/0kcybk+khgf9RGNEJuoqjIEbJoWJd4fOTGLNTZJL5DZ3GrRbHbpOdtk4cj/J95VOghC6o0mnU6dubmLfP3rX2N+fh4/CJienuKWW27h9Om7mZ2dJZ3eNr4cKPVkReb4qaMY+XEurbTYrLRpdWyCEHqOcwUrgKjDY+wJU955jyVJSojd8Jlf2LoqQvR+q8AkSdr3h/L9qusCQL/927/NJz/5SSDayF//+tfzwhe+kK9+9as8/vjjQ2D0bB972jcbk+T7dHUQfj2Dda/3S3Hy5El+5Vd+hXa7zb333svly5f3Zd2kOggSdFLHRhRFfvzHf5x3vetd/Kf/9J/4nd/5nadVsd2oI7ATdxzD1wxsP4uu5fn63z3M4uJylDWVNNpwo1HV3g08JHrCrm61UDVlCJwUVSZtGWTLOXqSykbTZ3mlSaPexXUi0mYQRNyAbD6d6OKsaGri9Xhe0E8oF9ANlUwuxdhsiQ4wv7hFs9Gl3dq9eUXmfu1IYZYgx88X4onTju1FHRtFQtMUrKzB5GwePSsxN7/C5kadXteJDA13lOv5VLaaKDHAMvADel2bfCGFJEm02x2Wl1d44okn+fqDD3L58iK6oWAaOi9/xUt50Yvv5K4XHcfICFy4sMhWpYntuCMuzVG3pYmmKaOALAixnQiQJXWHogw0CVVVKBQyTExmyI9rXF5e5PLCKp1OD9vePS7xfZ9uOz7KY7Bu5BwdzwNrd3rDz1pVZaysSXncQkvB5aVVGo0OnY6Nbe/eLF3PRzfiQZfr+rTb3QRCdvSd3gkSB9L5XD7D9OFxRE1lrdJhY6tBq90bfpcGbtZKzANs1BEZRH3EA0zHHQVsA+m8KIrcdPNRcpMzrFRc1jcaNFs9PM/vj5oSAmY9j1q9g6rK/QiPkHq9wcLCAo8++hgPPfQw1commUyKm266ibvvvpsTJ05QLpcRRYlmu0fOSlEq5Th60zF8PcfcUoNqvUul0iKbFCLb5//EkaMH/J98Nt7F3XV9zp5bGfnveysa/e6f5xtEfnTX03x4NuqaEUGlUuHMmTOcOnUKgD/7sz+jXq/zK7/yKxw/fpxf+IVf4Nd//defk2NPV9ezSd5oHaDXve51fPCDH+RjH/sYH/rQh0Ysyw8iu2u/R2Ce58Wul8lk+MAHPsCLX/xi7rvvPr7yla9c1Xo34ghMNzWO3XKY2WOzFKaK/N2Tc3ztkQVWV2rUq21SGSNeZtwfp4z8iIXg2C5eECDFmMhJkojvhYzPjiGkspxf7LC4XKfR6NLtOlS2Wui6MvIQMOAr5PLxpoq+F5DZI38XRQHD1DBMDS1t0kHm/NwGla0W7bZN0Jfqd9p2YvenutVK7OI4jkdqh6niwMXaypoUx9NIhsTCyharKzWazW40aiP6kXc9PzE3rFZtx4Ijx3ZZXV2n3thAlASeeOIJ2u0OMzOTvOrVL+OV3/ICjp6YptOJwE6r1d21QTtOQrfF9ahWmqhx7zOIMsd2gsAwjJysLcugNJZG1gLW1jdYvLxBrdYamjRGo6hW7KjT9wO6XZtCIk8nAgR7N1jD0EilDVRVJlfWuby8ytLSJvV6pDr0+wCyWIzPFYu8sxKS2PujMznmeiM1oMLUTJ7pQyVcBC5eWqdSbdFu97BtLwpdTeo61dsYphbfdXKvBNi8yCvKSpEvWBw6fggxlefSUp2NzSa1eptsQvfSdX16vXhOku8H1BttHLfNwsI8Dz74IGfPnqXd7lAsFrnp5Cle+tKXcfTYYYrFAtlcmvGxPEduOkZPzLC8ZeN6PrbjjUw2dvr/jN6LgFqji2EoQ/7PruN+wONXAYAGe8d+doBMc1Q8caPUNf/Knzlzhje+8Y3Djfehhx7iZS972fBN3nnnncMgymf72NOVoijXTO7q9XoUi8Vres3Vrnstoypd13nnO9/Jbbfdxr/+1/+aJ598MvbfHQRpe799gOIA1bFjx3jf+97H+fPn+ff//t9f0x/gjTgCe8mrX8Ctt92KKAg02w1UXaY0PUa72WXl4jKTUxl6XScaN/R/0Aaqqbi4iaDvoptOcBP2XA9ZkaPRmSKTtlI0Gy3OzlWxdGjUOpTGczGv86lstpmY0XdtTmEY5YI1G70oNT2mixMEAeXJHNlCCsc2qbR6rKyuMz0VKdSSyJqDH/gkwzu7B6oiE7K7AxGdM2T6UBFNV7C7LucvrDA2liWbMenZLumUhhq3rhNt4kkbWrXaplTKIQjQ7Xbodjusrq4QhgK9bsDkTJbx8RK+J1Dd6AEunm/T67kYZhI/xadnx79Pz4tAYHEsjdhXYe1UgImSyNRMAcsycF2f+YUlspkchUIa34vSwpN8eqrVJlMzxRgSc/SZxo3rBEHAdT00Q6FQylAoQbfjMLewTN6KcrA2thocOTKZaCCZL1ixfzee5xMEQeL4tbLV4PiJY0hSSGk8TypjUq+1WFlfJ21qfZ+dpK5TfNTHYHRWjIkQGVyTKArDTLdsNk2xlOXYzSfY2qxx/uIchyaz0efbN3Lcfm3kpp70fqq1DrMZc6isa7fbtNttVlaWqdU7SLLByVOHmJwYR9M0Wq0W9UadZqvL4lKD7pbBpcUak+V0FKCsDQQHfqIpY+QO7TAec/8HAb9PnV8dOba3Bg/l+wmAblQFGFwjAPrLv/xLPvOZz/Doo4/yMz/zMwA0Go1d8vKB70WU8vzsHsvn81e8fl3XabVa1/KWD2wEdi1cnZmZGR544AGq1Sr33HPPrsDIuHW/0UZgg1DaP/iDP+CjH/3oda13I43AXvjCF/KP3/FmWq0GUv9tiqKAbmr4QYCo6fQEg3MXtpgaT5HO6Gi6iuf61CptxmcKI10K1/PwHBEzpY90gIIgwLE9rHx6yCvSNI2QEFVT2FyrUW23qFU7CGLkHDv4EXXdKLk7lotju7TbNqY1+v33PZ9qpUO+lBnKnTVdwU5prNXaVFcqjE9Yw8yyXRuI62Oa8cRp1/H78Q0SjrsbAHmuT73WZXzGiAwMDQXNUOi0bVbPLSMJAsVSJjGYMmPFjxY81ycM4sGRbTvMX1pjaqZAz24gywqKrKNIJhltEllMUygUyVgqnU57l/LOdX0MI5kg3rWdhKf5qFtVKJik0jpBEKJqMr2ex/m5BVRJQ5KlEZ5XdE4PP7gCObrapFy2RjpSIVEMSDafRlUjDpCmqeiGSqdjc35uEccOmZhwRrhHA9J1uZxkGOiRySR3UzpdB01VcD07CtK1THRDxUjpXDy3DGFAu9UlMDT0XT4+gzy8eJVcpdpkJsbNejAuyma3VY+iKCCKQmT/EASYWYtANbl4eYupsUitpusqISF2z6WQYD/geZH/0pVsAjIZgZWlZVaWlofGntlsFl1Po+kFjh4do15vcOnCJdaXtxgvppAlkWqtS6mUvYI7tPyM+T+apu1rrBBEnf0bta561+j1erzjHe/gv/23/4ZlbTtUyrI8spHruk6n03nWj10NALrWOqgR2NV2gF71qlfxrne9i49//ONXxYd5tlPmr6cGAEiWZd72trfx6le/ml/6pV/iwQcfvK71kkZq11vX2wESBIEf+ZEf4Vu+5dVcXjuPoARYOWvXRhX6AZlCmnw5i+9nqLW7rFzYYnoyTRiAHya0+x2fwGdEMg/bI6XS5DZwEgRhGH8gSyJjh8ZpCxLr57eYnkiTSUfOyK4bkar3PiWHIbj90U5cp8F1fZzebuK0LEvIGQMEgY2NFlttn96lLaans2h6JNX3/YB2q0cunxwRICsghzLOnt9r1424U7IyCI/c7fB88alVOj0HVZX7UvOIl+P1YyoyGX3k3g5cri3LiLKd9gZluj5hEA6v1fNcPM+l6da41LjAxmqX6alpxieOMzU1Sxh6NBsNKpUKvU6FQqIHkoeub486dzsx+3Q7NvJ4pv8+hSjSQ1eRJYG5i2u4NliWQSZjYprb7smu65NOG4mdmF7XTiQxN5u9XWsNz6spOLbLykqF+YVlfD8gkzExjIjwHJkY9pDl0d9fzxvYHSTFSfhomoSmqzjN7XG+okSfoarLFIsZ1usNws2QibEcZt9F23E9ioVs7Ht1XR/PvzIQye5InRcEcXj/wxBy2TRT0yWCoEil0mB1YYup8Sh6plJrMz0d7//jeh6ZtIGScE31Zpd8flsRaNs2GxsbrK+vo+kZZFUnnVY5dfIYN998E1tbVRbnl1i9fIlKLZL7761t/59k/s+TTz39+AsOxgPoRlWAwTUAoJ//+Z/nxS9+Ma973et2/fdCocCjjz666781m01UVX3Wjz1dXc8sstfrPSccIFmWeetb38prXvMafuVXfoW//du/vap1D0IFtt8jsAEA+uAHP4iu69x7772sr69f93o3wghM13V+9md/lomJCX7jd/8n3/HDLyGlmbtS3P2+F086m0LRFFRBQNUUdNNgo9GhurJGMW9GYZNqsIuv49guoUiiw/Pep87hU7Lr02r2GJ8dQzNUdFOn0u6xtFZhomhQr7QpT+dj1E1+lBuW+KTroydENAAoukJ5okAILKy1UMIGExOR23Gt1iZjjY5oBkBF0US8MF5Vlo2JohhEMKQyBqXxLNV2j5XVGjPTBXRDJQyh1ewMDfp2lu8FUXp5Vh/ZtLb9kUYjQAb2ALbbpe1s8Lm/WkaTUpw4McvExBhHjh7DMMogdBEEn3qjMXyqDvpho4Vdo6jtezHomu29nogvIyNKAjNHszhhm/NzW0yNl0mnog5Lq9XFSsifipyjtXhA6/j0eg5yDEk+CKPR46HDJTRNod1qsnZxk6mJMqmUSa/noKnxjtSu61Gvt8jmR+0XIl8hj3whg6YpNBrhntdGnJdC0UIUBbpd/iyQpwABAABJREFUm+XVGoookMum2dhsMD1dju86eT6plJFIBG80uxR3pM4PyMxR1plDvpCJbAokEV1X6eQybG5UaWxV6HVdJib8XX/b0I/kaEcZXrH33/NASA57DXseGS1gfX2N9fU1JEkik84wPTtOJp9l4oiLQgtV9PB9G891hu+n2uhSKmZi+T+u5/P4ueWR/x5XByGBf6Z2LwdZV/0r/zu/8ztsbGyQy+WAKF/r93//9zly5MgwMBPg0qVL2LZNoVDgxS9+Mf/zf/7PZ+3Y01Uqldr1pHU1dVAjsCt1gEqlEvfeey+KonDmzBnW1p7eu2FQB6ECs217Xzsshw8fRhRF1tfX+dVf/dVnrDjYbxL0tY7AJiYmeP/730+lUuH9738/L/uu09ubTBgOQ0w916dV7zCWSQ1/OCVZwkhLCKJAdUun6cnYl6pMT1vouoqqK4RhSKfjIMkgqzLBjjHLYJNO71V/9H+Xo7T1qNMgSSJGSkfVFAxTZ22jztZ6CyNrRh4lO0jSUd6YOFS67Lo/nk+n3SOTM0ecmgc+RpmMgZGKRjW6odLrOsyvNgg6XXzPJQiCkQ0kChSNvmvdPQ+hAzl+Nj9qEDdQuRVKFrlCmiAI6aV11utt/NUqVtrA84JYV2nH9ei0upRig1wj76S4lPvBfS+W0uQLKYJcSK/r8MjjT/L44xfIZEx6vYAXvPAkExMTHD12jE47yixbW9+kVltifCq3o2M3sDoIcG2XYjGelB5lwClk+1wQw1Rpt+qsrG1SLuRYX6ty/KapWHJ0rxMpseI7Ui6iMGouOThnvd5mNluMPldDJZVWqddrLC1vYho6hqkiSTEdkQRzxMGxylad8ck8kiQTBntIv65HJmsODShVNTKt7HYdLl1co93sUihkMU0XdYerdBQhYl/RzXoQnTEoQejHUHg+W1tNxsa2R02qqqCqCoahsaqqXJpbZnWtjiCImKY6dLT2PJ96o0s2l44du0UOz8kePj7hru+27/vU6jXCMGRrq4HjikxOjuEEIWMFDV0VCXybjc0q3uVq7EPb4G/j3IWr20P22wRRFMUbegR21SqwL3zhCzz66KM8+OCDPPjgg7zhDW/ggx/8IJ///Oep1+v87//9vwH49//+3/Od3/mdSJLEt3zLtzyrx56uroeM9WynwZ8+fZr/8B/+A5cvX+Z973vfNYEfuPE7QN/zPd/DvffeC8B//+//fV/kloMn6/0LML36DtBdd93Fhz70Ib7+9a/zb/7Nv6HdbnPi9sPDzSvYscl7roekxCi8iH4gJUkmP54nPT7GSsXj4sVNmrUOrUaX2lYz4tIIe1Rcnk+92lfC7OwAIQyJ01Y+teupX5IlzLROyjIxslmqHZFzFzapVdp0O87wRzMM4jtObj9xXlZiVEheQKPWwdjBVRpI9QvjBUilaLoCq6tNmo0uju3tWldRJVRNHoLG7WMe3bYTe+/8fsjrAMDJskTaMiiOZUmXLBbXazTbPTptm17f+G5Qnusj9zlMe8tzfVqtbqInS73WiaJF+ptzxjKYmLFIFyTmFpZYXdvg/LmLfP3rD/HQQw/1xxw6szOHeNnLX8HJkycolUp98B7lgLmez9ZWC2UPbwoGuWsu+XxqGMCZzugUSxkmZtNs1Leo1Ot0Oj06HZtgB6CI+D+t2M9s8HmnrSRibwS4B8dkWSKTMRgftyhOaCytrbK0tEG90aXTsXeMkiKQmM/Fy9Q91+uHucoIArucmF3Xp95ok07tVgPqukoul2JiOo+aklla22BltUKj0R7aIrhuZMEQpzobXtMe6bwoCsNRkm07sd8HWY5A04mTs5QPjbO81WJxuUKt3sZxPFzPJwjD2PGX5wXUGx3SSd5N/aT7K0WBGCmFEJu23eLxS8v81VeeZHGliiBqvPzlL+X0HbcxOzODZVmIO3hSc/ObVx2Iut8jMFEU/36QoGdmZnb9/3Q6TalUolQq8T/+x//gLW95C/fddx++7/O5z30uWlyWn9VjT1fXg0QPcgQmiiKqquI4zq68qw9/+MP8xV/8xXWvu99fOMdxnnEbU1VV3vGOd/CCF7yAX/iFX+CDH/wgiqLsS7t1JwDaD/Le1QKgN7zhDbz5zW/m137t1/jsZz8LwNh0MepSDKXNIYIoDGMEMnvAyODf+J6PmTHQzQg4qLqC3UuxuNnCrtcRCUdM4mCbL5Lb0c6HqKPguT6NSpvCeD62i+PaDuWpIrqp4thpVuodgtVNZiYzOI5PKEbgwPd339OdCpqRe+f2n75Lu78vA6m+6/iMz44jKjIXFqpkTZFSMYWqydi2Sy6fTuQ5qbqSKLO2e6NSdEWJOiSiJGGNZ1jebCOFTaYmslGKtyLhOC75wnb3LNyTxXUlcNRu2RRK2/yGQXyGKAqkMiqSorC4ukWmYVIsurTbXTa3tqhXW3gBnDx1iHK5zJEjR7DtKA9M18w+zyl+I9zaalMe3527JisSaVknl3dACKg0K2xt1ZmaLkeRG7qC6/oEYZL3lIdtR9yzIIjp6Hk+VowkXFakvsOxxPhUivWtdXxXYHqyjGFoiKJArd4imzPjVVyej9lX0O3k4ETv1aPZ7FAsjvJHwjDaWA8dGsNI6di2y8X5FYqFHNmMie8HERC5gmFjoZjbdU2DDpDresPvRtxrI2J1sc+B0uj1HBYW1skYMkIokEpUBHo0mz3Ke/5OB/fYcT3G0loCidyn13NRZKkPKPpRKrrKSr3D+Sceo5QzufWWw0xPjnH06FFkSaLZbLK8ss7K+tmRNZNqv0dggiD8/eAA7a2d5oM/8AM/wLlz5/jqV7/KK17xCsrl8nN27EplWdY1jb/g4ADQ4EumaRqapvHe976Xqakp3v/+9zM3N3fd6zqOc1XjwGtd85l0gMrlMg888ACe53HmzBmq1SrAvo2tBiPY/QRUV+ooqqrKP/tn/4w77riDn/u5n+P8+e2AwZtuP7Ib4IQhCEI0Rqi0KE4WEWLASKvexrC2gZOsyMPNt+KHNGotWs2QVqODIEbqLqG/rqrHBZxGx1w/SPAb8qnXOozPpFBUBUVVUHUFp2swv96guV7h2Il23/hvu4sVSaldrARTRdf1ULVk5ZPreJjpSPWm6gpOz+X8fIWMLtBsdJg5MpboVRQ5PF/B7yXufToeAZAtZJAkgV7P5fJqHV0UyGVN1tZqzB6OydPqh40WEkZRrusjq1ICJyvAsQOmxiOOT6/rMnd5lbyVjuInKi3yBZONjXU2NtaRZZlyeYypqUmmpqcpl6fRjIBut0O9XsfpP5G7rofrJCvHWi2b8piFYUYjx7XNNUJXZmKyiG07pFOjPCeIgEgQhCiyyB7PxWisU2sNR25x98HKmRSKacIgpNtzWVpfRUIlZ6WpbDUiZd6eisZUzjDMddCB2XV/Ex2eIz+mick86bSOaagYukK73ePi/AqaovS7PyMvxXU92h2b8Ynd64qigOd5EZ0iMWA2UgsqsowgCBiG1g+anabZ7PLUY5co5dN0ujaGvhsIRcaK8VlyAz+jE5pKDK+67920G4gPUu8lSSBTKCIaKg89dpm11Q0MU6OQs8gXcui6wbe/9o288OU/yOOPP87Xv/51Hn74YZrN5uiJ+ObKAYN9zAKbnp5menr6hjiWVNfTxRhwda6VO/R0Ndi0T548yTve8Q7m5ua49957n3GQ6Y3mA3TnnXdy5swZvvSlL/Hrv/7rww7Nfo7V9nsE5vt+4j0sFou8733vw/d97r33Xmq12q7jh09N7wI4YRgiiiKe6xESLzf3XJ9Oq0emOPr9FAQBx/EoTZdxVZml9R5Br83EZCQ5bjV7ffl7/A9rxhol8Ebn9KIf5B3HBj+yASHVjSYNW+Xy5Rr5bCRxVzUlkmhXWv2u0ihQsXsu2XxqRKoPfRJu3xk6MjdUI/ClKdS3mqxV6+jpFtVqczh2Gdyf6labiRhvG9/z6bYdsgmqsogMqw/l0ko/Hd22XS4ubGK3upTGIr+VdJqhFY/rRcGy4xPZWHDk2JGJYRKfQ1IkVE1BVWXUPr/K7jmcO7+M03MwUpP98ZvU73Y06HbzfOXLX6NQtDh8ZIpCocChQ4ewbZt6vc6lS0uYKT3RzbvT7lEez0Tn7PNlej2HhaUlGlWH6dlS1F1i9+td10dRBEKkEQDkuj7NVo9iOQ7EBLQ7dl/RF32m6v/P3n9HS5Kf9f34q3Lo6up4+8aZ2ZnZvJI2SCsjOBjb6CuZA5hgbDhgMEEkISHEZsD29wAW2BbR2ByCQQSDLOCAfDgWEj+CTBJB2mV3tXnSzalzV3eFT1X9/qjuvvdOd8/Ozt4R84V9ztGRNDX9qarunv6863newcjUfv4g5OKFDfx+1hHUde2ycNmYZqPD8jDpPvt9zTqcGY9sujoRhuaTkRh/d2Uls4fIvk8ql87vEAQJ5ZKLcJIxmXn02ux7fjkAkgmCiHqjy9JieWpqQBQJcs7RTtjI0TpNwcrbWEWHC2v7VEsOrmMNlXIyQmQZXrO4UINBhGnoxPHRD2BkmFmpuDNiOUCSYWGxirw8R7vVZXt9F98PaTTb9LyA7/reD3Lzzbdw33338RVf8RV893d/N+fOnRvTWZ5//vmxfcNxx2CkafoPAwD9f6FGBO5XUr7vj0dVx4mMs3lzxMMPP8wHP/hBfvu3f/tY1r2RnKC/9Eu/lK/6qq/i537u5/iDP/iDI8eOU7mVJMkwGPJ4OkpCiKljxNtuu41HH32Uv/mbv+FnfuZnJsZtuWKOrh/TaXs4cYJu6hloTtPMxLA4Of6CofuzOV2dIyJBHKeYOZN8MU9poUq3rXNps40iQsKBz/KZhSn3ENNu9rKA06lRFNFM4CSlUKi6FOcK6HtFLm3tYiBYWCwQiwQ/EDOBXLPRY35psqOSEacDHPcoOJLlzOXZsA3KC1Viy2J7L6Hb6pAmAaalHfIqmg5wWi2PxROTdvsH5zwARyNXad1QCeZc9lNY2+4xGEQoij6Of8hI4PH0LpeIaTR61BangKMkJQoExSOxDxKWrWOYKmEUs3apztr6Pkma4g4T2kEiDEZJ7CY729vsbG9n4zvXJZfLsTC/xKlTJzFMmU63Q7vVHm9WYRSjXRbIqhvqUNqf0mhtsru3TxRGzM0VsSwd3dDG5GjLUgnFDG6KOsvhWdBqeqycKB957w0j68BUaw6e57O9s0OvO6BSdbFtA13P7BcOj6kkSRqToA/GVNMT0bMctMkxVTZC1JEUiRM3lfFEl+0LmVrNtk10XSUMI8rl/MRvT/agESCmRGeMrqnnDXAL0zthcZxgWjqVuQKVaoFer8/5tT1qFRdTV9jb71KrTaotR/ej6wqmadDtHgUf2djNozZfnvla08wsEgxDwzR13IJDq9Fm9dIOjb0Wg4HPU089xVNPPcUv/dIvUSqVuPvuu7nnnnt4+OGH0XWdp556iieeeIJqtXqs+1ySJH8/OEB/H+rlfIKm1egH5jjJYaMRiqIo/OzP/iy///u/fyzrwo3hA2SaJu9617u47bbb+L7v+74jI6JR3YjxFVda661vfSvveMc7+OVf/mX+z//5P1Nfd9NdZyitzNOOYPfCPovzeXolD9MyaTc9itXihAFdLGKCQYBTnOyajPgXuUM/urqpYyc2mqHTqbdp7XtoO53MuM7MNjXIgJPfDyjXpnizRIJ2o0e5NqWLI2L8QYhTdMi5No5rk1Il8EMurLch6GNa6lQVl4gEaSrNHBn1On1ybm46UOkNKFby5FwLs2Sx3TRYO7/FQtWEFJz8dEmzCGMkaTofKYpiOq0+i9POGScZH2m5jGHqBH7EpY0OtVqPbmdAEAicvDnTODEjrc7iiXhUapNJ7JCF0S6dqGDnDPxBxO75XRbmC2iqQT/vI8lHu4RJHNNqNtne2uXCxR3OnF1k5cQChUKBleUVoiii0WgShetU5yZjQDI/KBk3b7K4VCZJU9Y2trDNHJWKiyRL48DQy6LVxkB5VpaZiDIp+LRjcZzgeT7VuUziHvgRl9Y2cJ0C5XKeMIhw8gd+RZIkjUnQURTT7/vMLxSnrpuNzqYrvKJIoKoKxVIOVVFwnJBOp8Pm9j61apm9vSYrJ+YnwIQsy5nrszXd2iGKxNC+YVLOP/p3WizmMIdBpaalk3Mset0+L5zfIfBDisU8cZwcOXeSpERCUC676IZG0kkmzusH0dRrGokcKodiT0ZdXMsy0AyDv35ideJ1zWaTP/7jP+aP//iPkSSJm266iXvuuYe3vOUt3HXXXQRBwLd+67fyxBNP8NRTT9Hv9yfWuNpKkuS1DtCNUtcSaSGEQAiBaZpXdGC+2lpaWuKRRx6h1+vRaDTY2Nh41Wserushg38l46rFxUUeffRR2u02DzzwAJ1OZ+rfO+5O1XGaIR6WwSuKwjd+4zfyuZ/7ufzgD/7ghAfV4brp9WeyDV6RMSyDuudjbHbJ5wZ4HZ/ywhTjvyim0/KYW578YY1FTLfZwxl2cVIydbskZSBD0VSqJxfRTZ1LGx3ylkSl4mCYOqkiYdiTxn+jc2b5StO5QZ2mx9yKjSSBJMtohoaqq8iKwvaaoNsRKNtdqtUEw9LRdXU4tkgoTCF5Z+sKJFmZOarzej5u2c1Ino5NoZTHX5mn1e6xc3GHleVCFh1iHSRhX03Iqzwjn0pEQ4O+Ug5z2A3RNYNuAs+/tAciYn5h0nQOhmaDrjm9KxIKghk5UVlnw6NUdXHyFpZtYNo6Pc/nwqV9wMIyNZQpRBARxaRxQiwidrZ32NneGUuMDcOiWlnillvPoBsy7XabTrtDf9A/CMmsODh5A0mWMEyVwBesbmyhphrdXh9kJrOnIpF1umr5SefosZvyrBFrTBgIdE0dEqWHXTdf8NK5S8RCZn7+AJxLkgxjACTQdG0mwGk1D0Znl1+TEEmmktNUFEUmr1mYlobjhmxv7rOz0xlyY4Ij2XhxnGYZalNiQkafHVckVveGQbvZeiOOjmnqxAlcvLDJ6sZeZkVh6mOS+OEOj66pE0a3URRjmjOI1VHWiVxcqk48yIxA0Isv4/+TpikXLlzgwoUL/PZv/zbf9E3fRK1WI4oi/s2/+TcsLS3xwgsv8Pjjj/PEE0/w0ksvvawZ7+X1GgC6QaparV7T646LCP2Wt7yFd73rXXzsYx/jV3/1V/nxH//xv/NuzdXU1YKqN73pTbz3ve/lYx/7GL/yK79yxX8ox+3efJxxGKMOkOu6PPTQQziO87JmjaZjUjs5j6JlBEklZ6GZOko+T6PTp+OFeN0BElkXZ+y3IwSyos4EDf4gpDB3yFPokMFht+VRXChn3j6WThREXFxrkdNTHNvGsidjM0ZPq/kZqdFCxKDIqFrmijzaYkbO0mkCtZUaKDLnV1sUbIlKNYesyjQbPYqVyTiEUfr7bHAUo+n6kWPy0LMoSVIkw8BLdV4812Bp3iHnZBENcZzQrHuU59yJDWCUe1Uo52eTmA+RUkcBr+WqS3GhxIUXtgk2OiDJFApWFh+iKdn73vHJu9bMKITc0FV62n0G/sHTvKLI5JzMsZpUpdWP2NhukXNMcrYxdrIeuVUXikc/syRJaLfbeL0dLl3c5bY7TrCwMIdbcFlaWiKOY/Z263RaF9FyB4GsY0CiK+zutunXB3TaPp1Ojzg+6CJFw6DXaUTvzECyn6nDZgAV09IOeDqH3KzTNOGF5zcRmwGyDK6by/LChoaLQRBSrkwaXo4+t2x0NiMHrdGlVD06Oht1RYJA4Hl9mt19Wu02K8vzYzVVFAm63cFM6XwUxRSnmHCO7rXfHzBXmwTMsixjGAo3nV4gZ+t0ugM2dxosL5SxzCwaxw+jTAkny0d+M+M4U46WZpKyp6fdj147GAScO/fKHrBVVWVtbY1f/dVfBbI98+677+bee+/li77oi5BlmSeffHIMiPb29l52zdcA0A1SV6sWu7xeLQBSFIWv+7qv461vfSs/+ZM/yV/+5V+O1z1uAHS9SNBXAiuSJPGVX/mVfMmXfAk/9VM/xZ/92Z+97JphGP6duzdfaS3XdXn/+9/Piy++yA/+4A++7Pjz5B2nJzxWFEVBMzRS08JdqtH0YX9vj4XFIqalo+oKoR+OM7wmriOKMXMHpMt0qCgDiCNBkqQH5FNTRzMyQrHX9tjeG2DoIuO7DMmhozU7jS75WdygIMwUU6Mf1UP3E4sY3dKx81Ym1R9GJJxfbWLKgoHnU6xMbgIiEllUx8IUOX6cEAxC3BnE6SRJcEsOxVqRRLg0+9kGsrLoIEngB9HMUNBGs0dlyphvBI7c4uXvuzT0EVLJFWyqC0U8kbB3vs78XI583iQlpdcdUCxPusoLEdPr+Dh5czZfY0pXTlEVVEVDV21qK1X2vYCt7TbLS6WsI6TKtFq9bKwzY9SXZYYJdvd22d3bHcuPFcVgaWmFpZUispIOu0NtvH5/aDcgc+KmKqkmWF3bQ1FSCm4Oy9LHWWazgl67vcERG4BRjVR7xSmmi6N4FrdgUVssEscDzl1scvvtbTodj1gMFV4L00aIQ3PEGcT+LFfMp6ZNigmSOCFNEk6cmiNnZ1yvrb1tUqGwtDiH4/SJhMAypz8UjOT8s7pDiiLPBGWNZpdatUChmMPOmbiFHI1GD3+niWObgDRUwh0FQKPXLi1PKiMh+wwsy5h5Tc8/v3bEC+pqyjRNGo3G+P/v7+/zB3/wB/zBH/wBsixz5swZ7r333nF+487OzhgMPf3001MJ1K9xgG6Q+rsAQKVSiYceegjbtnnwwQfZ2jrIZLkeLtOf6TDUXC7Hd33Xd7GyssKjjz7KpUuXrmrN447XOM6O0qlTp7jrrrv49V//dX7zN3/zql5z0+vPoEyNGAhRZAV7uNlGOYvd7oBku0W5lKO132L+1MJUabzX7ZNz7QNPIbKOTDpUhuQuI1WPgFDkR1CQSZSU85dalAsaxWIO3dQRkcgk5TM6Tu2mR2mo8Do8EknihEE/IF90hkGcQ9A1VHE1d1u0+h77+10kibEiJ1s3JhbT5fixiGk1e8wtV6cSpwe9gHwx45FIZkZgNm2L/V6f5uYetqUShQLDVI9sEiIUiHDGKGoMyCY32ThOCEJBqeKSd3NAimkZdL2AnfN1XFslDMXE5wVDA77OgOXiJOdIiJh+LxhuotNHobmcglvMIckSvmOx1xkQbTYplx0a9R7lKXLyUdTJ5T49aZrS7XZpt3ao73foevPMzVUoFAoszM+TkrK1sUu7DVYOKnMuc8sO+7sNzl/cpFxy8f2IwhQXbMhGfZo6PYg0irIw16Wl0vRuikgoVfMUCjYSYOdMgrTHufPrmLpBp91naWnSyiPL0urjzuq+Dc0Ep5o5DrtDC0vZw4dp6ViWTn8QsrG7hazkCAMfYzjOvdyh3OsNqM5NgvvMOyimVJ7NSQoGBwaeo26Uaep43oDz57ZJopRez2fQD0gOeX1FIiYS072b4nGcyvS0+ygSPPPM1f0WH64r+QAlScJLL73ESy+9xG/8xm9gWRave93ruPfee/nGb/xG5ubmeO6558bqsvPnz7+mAruR6lrN/K4VAL3uda/jwQcf5FOf+tRU1+PrFVvxmRqrnTx5kkcffZTNzc1XLOE/bhL0cYzAJEniq7/6q/m8z/s8Ll68eNXgRzcNls4sTpw/TbNOgzUc7yiqguJko7HQsdjZaeK1BhTnAlRVRT/ESYhCQb87wCnmD36Mhz/MQoisizOFVJ3EGelw/pZFIgSNvQatZovzl5qUCzqqkikaZ/E24jg5ch+jU4tI0Gt5VJaPci+kkSFiCrVTS6SayrmLLSoFnWLJwjAz6Xy+OCMUNBSkHCUxj4BXlg3mUcsf8KMyF2sFRZXpdgf4ccrF1SYrywUs6yDOIxIxdn6GZFzEiHgaYRjCIMz8muZH4EjCyhmZCaOlsbNRp9+NqLZ90iQ9wkkSUTxhLXD4nO32gKXCdEK2CFM0XR53EZ28lZGz8xabG3V63SALSFXlsdkiDDsxnT6FkjVxzngIWoulHJCwv7/P/v4+SBK5XI40UVk5scLJ01Us0+DUTStYpoaVa9Gsd1m92OCmU7WMs3IoJHU00ixXZpGjBXE8fePO5O9dyofGVJmbtcvCCYf1tX26Xo92x0OWpTGpOHsPRZbpNsUccTw6K0/vpkZRnCnlDh3TDS1TzmkKKAGdfpdON6E2VMkZhj4+70wumYip1zvMzc1IaY/i7DyXXVPGm8u+n8V5h71mk/1Gn3q9g6ykGIY2zG6bQf4fpt2fmJJ2P7rfZ5+9NgB0tWKfwWDAX//1X49zKufn57nnnnu45557+PIv/3KEEPziL/7iawDoRqlr/SBeKQCSJIkv+7Iv41//63/NL/zCL/Cxj33sWNa9mroeHaBpYOVzPudzeNe73sWHP/xh/tf/+l+v2CPpeqjAXs16tm3z3ve+l6WlJT74wQ9y3333XfVrT9x5ClXXJroCiYgJggHOsntkvKOoCqZtEjgmqTLHvpewX99lcbGIPjQIFJFAM47yYkZPpnEUjwMzD5eERG2uRk7L0ws98sU8y8srxEKwu73LzuYO5556gWLByAjFMF7/IFPskDQ+HfWcsh9yZHkmV2ng+dTKLoZloJs6YRBy7mKLoqMS9H3K88WpIzcRTRtFMQR6WWbTNEBBCnGUUFnKPFu2233izTYrSy6qptJu9skXJ0dGo6wyJz/pbAwQhmKYSD89cJVUorqyQDOU2HipwcklBydnoOkqYRgPvWumAb34ACxefiwSeN0UVZOPbGaapqAoBjnXRjMNdls++/UeS4vFrBNmaogoRlKlmZyjVstjeeWoTJ00pdvpUt/vkQCev8c9d78BVVW55bZbuU2SuHBhHUlaI5VCXjq/zeJ8mZxjYFk68Sgva6EwnRwt4qxLMwNkDwYB2qExlTxU8ZmmhmEonDhdJIg9XjrfZmmhgm2bQ57OZIbXwbois2BYnD06c5xJVd9IJZfL5VhYCuh2O6xubGIZDnNVF8PIzlsuuzNT54NgRkRLnOAHIZXK7O6QJEmUK/nswcSBjf06SRBRqRTodf2ZpOxoysPKwXljul2PS5deWYwSvDq1887ODh/96Ef56Ec/iizL3HLLLXS73ddGYDdKXUsaPLwyoJLL5fjO7/xObrrpJr73e7+Xc+fOzfy712sEdtxrHu4qybLM137t1/K2t73tFaXUX143UgdoaWmJxx57jN3dXR5++GHuu+++VxSGevr1p1GnOgILkihFn9KRE5HIzA+rGeiJghzb7T7pdovanEu/5+EUjvJ0UjJMIiKB7dpHzqnIMqfPnCEOYv76Lz7J8pkVdusHXJBCocCpM6dYqC7S9XsMOj28bg9VizBMjRRoN7vkS+7RkdvQnyUKI/KzDBejGNVQUbQs1NWwDHRDRzd0uq0euzt1FF0bGwKOwMUow6s05ek5SRJCP7zCOQWKro6l/4apEeRtttp9/OYuqQgxcxZJkh7ZEEcZXs4UP5esYxeRmwGOhIiJ0xR3SEa2bJM9b8DaVp2lqsn+fo/FE5OKnAzoxRTL+ZlABZTZkRvdAdWlMoaRGQxu7HrIiWC+5hL4wTgb7PIKI0GapjPHRc1mj7mFEkmSydk31tfpDwZYlkUiFG674yaWV+bodHrsbtfZWa/jDyLSNBnmZU3Z9EVCpzXAnTU6E3HGfzv0WmmYbxcGIV7PZ+lEGcvUcdyQTrvN1k6dhfkqgZ+NEGeNuIJoMg4Fss+t2xtQKFhTA3GjSKBoCo5iIisiM3L0Iy6tb2DoNoN+wNLybB8eXZ8RlyJiGo0OS0vl6aDsUBSIoWtUqwUWl4r0vAGrazu06n1uufUkTmiOu1GHz5vPWzO7bNfS/YHjM0JMkoTnn88iOF7rAN0gJcvyNTk6Xy0AOn36NI888ghra2s88MAD9Hq9K/796zUCgywWYuQ2/WprBFZc1+XBBx+kWCzy0EMPsbl5ZYnl1ax5XHWtJOj77ruPBx54gI9+9KP86q/+6jAR+urX0kyd5VtOTP37IooxdGPszXO44kiQxAmqrqJo2X80QyMKbDbqLbydBifPZARm3dCRhlEBsRB0Wj1ypfwYpOm6zi0330IURfzt008iG0oGjvwDLki326Xf6dPv+Zy89SYqJxcxNR0pEESDFt1uk9AXlyl+RqMoQbvepbgw6ZCbxAlB38ctHX1CHgGhMAixy0WE4XDuQoO5soVbsDCsTHkTBjM2rREfqVacAiiSjKx9iDw+ig4xTI0GErvr+6xvtFCUzHE6G41Jw6wyn1J1CllbJERhiu3MSH+PYnKOjaIp41GcbmoEOZPN3Tb1PQ+3mEfT1SMS62wjnK5WG61r5+2pGWjRyLJAzVysNV3FsHSCQcilzTadepvTpyuEYUZ4H3V6su9KkgGGGZElYZgcCRod/S52Oj021xq4xRxdb598Pk91vsDCUo04Srl4bodyWUaWFJI4OdIFioaGgZXq5FN/Eif4fjR2jh7V6JqDUDDySlI1hbxmjYFQvb7P5mqL06eX8IMI09SPgIooOgATE59rFNNt9ykWJs0yR9J505IJgmx/MK3s+2KYGs1Gj53VvSykV9cyA8lh+ns8jkuZ7tIcRWIYYzHDJ6kfUBxHgYyctFUKqo0QRTo9j+29PXw/ZK5aGEdvZKaMPoXCbHXYM89M+v9cTR234S+8RoK+oUpRlFccmHk1AGhklPebv/mb/NZv/dZVgazr1QGCbJZ7XAAoDENkWeZHfuRHeOGFF3jf+973qp8SboQR2GhM+dM//dP83//7f4+sdbUA6OTtJzMl1uVk2kjQ73rkV4pol4HcjMQcYRcdlEPnGQEhEUYMPJ96P6HV2WVhoYhh6iRxnBkn+iGF4cbv5BxuvuVmWs0WL774Es2dZgZULutgxXGMP/BRLZ12p02n2yFNQdd0LN1EkYq8/vU1zLxKLMX0+94wxkwacoNm+QYJOi2P6pI1lcjt9yMqC0WsvIXtWPh+yP7FJtWSiUw67AZMI49n6dozc8yafcpTVGWyIqOqMvMna+iGzka9D2GH5UUX09IJg+x7p8zYKIUyXWIdi2wTtfNHx2qqqqA6FmEQEUQVGgOZvXN1Tiy6mPbBmCqcYWYnophWs8+p0uRnNgJH+YJ9ZBMdRV0kSUKj2WerEdAfNFhYcDGHLtdCJMPMsdyMzkWCnTMOwNEhACSiLFesPOcihKDZbI7z+yQU+mGEXSywuHwCQ4uJhE8Y+vT7HlEoUJXpPKhw2HVaXDo6ppKkLCw4Fglu0ToCwkdAKElTdnda9Poteuf7LC9WMSx9KKtP6XuDK8jFY1JpegxNNHQv13WVKDp6TZal49sG5YqN7cLF1XVKbpFiycGyDJIkob7fZmll0vl8tHbesWaMzgStZpeVoZ/R6PVpkmQ+X4rC0lKZUjmPEDGr61vYVo5qxUWSJFrNHoVCfir/R4iYT3/64sSfX00ddxSGqqrH/pB/nPUPDgBdS2L4lQCQrut8y7d8C29605t43/vex5NPPvmK1r0Wc8Yr1QgAHeeX7rM+67MA+P3f/30+9KEPHcuaf5cjMF3Xede73sWdd97J933f902MKQ8bIb5cuUs1vN4AWVXQDX38NCxEzKDnZ2OhCUWQoNvozSQxx3FMaWkOwzIQoWC73YftFqdOtvA6/aHBoUqlUuGmU6dYX99gZ3cHEUbEaZqptC67znjoG1RZPngKliSIREjf67G7touZs6kUity0UmVl8QQSEvPz83htD3eG2iQb38hTFXBCxHgdD6eQpYErtoJmahhDBczOhXXmqi6BH4KpjzevMU9nllfRkGQ7axzXaXpUFirYeQvTNgj8HBv7PdKwhaVJWI49XVYcCrCnO1kfmDVOCimEiPH7AZVaCcsxCQYO2+0+0Wadk8suQRhhWNMCa4evHYRounYkiT47ltDt9MkV7KkWAZIkUa65lCoucZxwcbODpaTMz+dJkgTPC5ibn9bpiun1fNyiPQZHkiSNz54lomtTr3fgD9hY36O25PPMuSYyGgW7yKkTc8zXlsjZ+xSKJVQ1IQyPdhIyID2FuyZLhEGYmUSW7amAjRTKFYf5BZc4Ttlr7RNtw9JCFUmWqDe6nDo1SQgecdtKs3LFoiyrzDR1ut2jvmVJnCBCwcJiCbdg4+RNfF9w/uI6lVIJVVUIwumjQCFi+t4gM4qcOnYbumgPr2mkukwZkf/75F0bJ2+RpukwSy7i0tomMipePxhnp11+3r29Nru7zcn38CrquMNQLWuSnH8j1T84AKTr+itGuL7vT23jLSws8PDDDxOGIQ888AD1ev0VrXs9FFuZLDM6lnVVVeWbvumb+JzP+RwAPvrRj77qNUf1d9UBqlarPPbYYwRBwAMPPDDV3ftqO0CKrjF3x1k6sULz4h5zc26mGDJ0RCjQc+bYGPFwxaEgFsl00BAJeq0epcUqqq6hDmXmUWCz24nYWK2jWVCr1jixfIKXXjpHu9Me83Sc0VhImlxXVpSp50ySlDhO0R0Tj4gnXrqE/1dP8fn/9LMY9HuU3DlOnTmLomUuw61WCz8IsnMGIe6slPYwC1w93G2RZRnDNkjSBEmzCDWbc+fr1Co2+UKmfIpCgdfzM+XRjFFUfgpxenSfWW5Y9rqD0ZhOt21w6fwmhVyEZQ/dn4eKqjhOiKMQ1ZgR5RHG2ecxA5B5XZ98KRuFqHlruGHZrNe7tLb2WV4pEoUCRZGPjm7C+MCnKb183RjP8ylMGdfFQ1l9vpDDymX/1ke+TBc22hD4SFJKOiWyJIpiOu0BziG5/mgEliTZWGeW55CIEpAydZZhZjlt9e4OFz9xkTRMyVsON9+6zG13nCZNEtqdNu12m3a7QyRi8u4kb0WWJIIg63rOzU8PXfX9kGI5h50zhmMqDX8Qsdfap9MIECJFxGIynmVkjliZ1QkTGIY67iQdOSZGTstFVFVGVQ1MQ8M0VAZ+yLmX9tH1TFCgqkcDVqMoptnqkndngLJIHDG2POwBFAlBp+NRKufGn002/tLRDZWdrRb9hsf+fguQhqM/dXw/zzxzceI+r7aOGwDdyOMv+AcIgK4FGEzr1Lz5zW/mPe95D3/4h3/IL/3SL73irhJcHwA0WvfVdoBKpRKPPPIImqbx4IMP8tM//dPHeq3Xwwfo5UDLnXfeycMPP8wnPvEJfv7nf37mZ3a1AGjpjtPkink0UyeyLVp+wN7uHuWyjd8bkKu4KMrRDlA6VD5d7uEzqjgSSJcBldFoTLV0Et2guLgIicFffeKvSaUEzdDGsRluZUpXaciZcUqTIZCjc2Ymitk4SjM0NFOnGcEzj79Ip7HLmdtuYuWmFarVCssrK0RhyO7OHl7TR7GkqdygMAhxpwRPjo7nijncqksSO3iDgN3zdearOeqlFn0vxHCmd5U6zR75cn6q47QI46mhsyMQZOYs7Lkyqzs+StxheckdcrRS+p0U7cwkYE2SJBs7lpypnZgs1f2om/fB/0+p73XY96B9YTgaG3JM0jSl3w+GUR7Z3z267jASYsbopt3us3Qo52wU8qqoCrubDQa9PlubHWrzKaaVJdOPRpqXy7olRiTwmGa9R21xcrw4Ap+Zo/fI10ZB0zJOV3O/y7PnL7G9t8PW9gbVSpn5hSpLS8ucWDnFhfObBJGHoibjEStkJOiBH2Zy8VmE7UbviJptNAY0DBVI2N312FivI3EAziRJGpojhtS0KR4+Qw5PqexgGPrUGIrL7RKy5HkDVZVxyyaSnHJxbZNatYybz2FaGQ9JRAIZaUZ3KKHd7mVk+hEH6zAAimKUKerHkYlkSsqpMxUMM+XCpTXKxSLFYh7LMoiimKefvjhxzqupzLV6tg/QtdRrAOgGq2tRgh0egcmyzNd8zdfwBV/wBfy3//bfrsr1eFZdDw4QZGOwVwNW7rjjDh566CGeeOKJsX/RjaTaupb13va2t/GN3/iN/OIv/uLLdrKEEFc1Alt+3VkULcvIMobRF5Fp0Gi16W61WNRVBr0+SRwfWftKHj7hIMApuUe4QYfrzrtfT6LD0y+dw2t1Sft95heKpEmSEYrH/IlDT8GhoNPsUVqoTOXpDHrBkI908DRqWAZOIY9Zdmn0PM5f3KPXG+C4G1i2QalcQpVUbrn5Ftw5lygWwyf9FkGQpWp3mj3mlmacsx+QKzpoujY2VdQtg94gZHunz2AQIGlZBtnhToSIBIEfUpoazxDTbvYoVKbIs4ehk6VqEbecJ45tQj9idaeLmnQo5nWSWJ8a+xCFMa2Gx9zyJNcjGb7v+eJ0cEQKdt5mbrFEksBGo0cSdDi55AISrUaPxRMWsiRzuAGRdWKiDGzMch+ekq0mSRKKIiNEzNxKDUlVOL/RIq9DrZYBrSAQFMsHcv3DPlORyPhes8jEs+JONE3BsDTKNZdCMc/mfo+NjSaL+w0sU0NVNXqdmFvuWGFlZYEkSeh0OrTbbYIgJBx1nWaAvZHr+eUlKzJxnLJ8qoyuq2zu1pFiicXFMqaZcb50XZ6pHGs0uiwslVAUdUoWWkx+RiDuKCh2aaWEoioM+gNeutBkvlrGydsEQTi0RJju4dPt+ZQPGSsqQwA0ApnFGa+NhiO7uZo7jBbRGAxCzl/MgFCaSnz60xcmXnc1NXogPc4O0I2sAIN/gADoWmaSvu9jWRaFQoEHH3yQQqHAQw899KqDTK9HFAa8ug7QF3zBF/Bv/+2/5Zd+6Zf4yEc+Mv7z4/YXCsMQ150eNnktNWsENhrjveUtb+H7v//7eeaZZ152rTiOXxacaabB3JmVI0BFVhR020SEAq0s6KYGG+sNatUuvjdAM/Xh+Cu+8vhrqToBGkzDxNRMusJjc30b1dRxqgUi32an08ffreO4FrGISZLkyAQsFjGSNN3DJ44EXrdHpTDZqo+TmDROKS6U0QydgR+yf2mfasmm7/lEQUgUp8x3F6iUS5RKRU6cPEEQBGxcWsfvRqj65GciREyv5VE+xEeSZRlzmF0mGTqRbnFpbY/aXEQ+b6IPOUIiirGcGZEEkSAMxEyuTafewx0CT1mR0XQtU3H1Qy6sbVPOS3S7Hv4gPKKoEpEghZly8lajR3VxBjgKI9ySg2GZyLKEbmqEgxzrjT79RhNVShAiIUkTDneAonDokD1FQp0kKVEgKMwaPUaZuaTtmNmYz9QI/Yjzay1MJcEfBCwsHyj6pPG6Sbbpz/DwiUSM70dTVWXxkCNVKru4RRuRN/H9iO16lzQQOHmTVrOHbgv29rZwnByuW2B+fh5ZVtjd6XPqphWQBF7PG/OhRhyezOl6utGg1w8p1wrYOQPT0vEHIZu7+6QR6LqGPWWUCqMOT2bYKMvS0RiKKKbXHZCfYYkQiRjkbOxomlpmIGkb9L0+z7+4RxJLLC2WpophoihGvSw6Y9QBGgWcVuacmcaK6rB7N85XMzQsU6fdGfD0E6t43rV1cEYP48cJgI7zN/561D84AJTL5V6xFN73fYrFIj/2Yz/GU089xX/8j//xWNqEr7ZTc5zr6rrOt33bt3HPPffw//6//y/PPffcxJrHPbI6zvWmdYAKhQKPPPIIhmHw4IMPZi64V3ltLweAlu46M938MI4JvAH5agk9Z6FrOi0hs3Zxn0rZJklizPwVxl/qJE+nUqlSq8zR2+/Q8brjP1dUFcVRkRSJXrNLL5YJ1urMLxTIWbnxD3oQhORm5Y2JGFXTpm8QfoQIBFpOx7CMLBXezIDQzvldpNBnbmmOgeexHQZsb28jK0r21BdL3Pn6O6jMl+l5Hu12i3a7TRiG4zHftOtJ4gRdMylWS8iGjDcI2btQZ66aw7Y0Os3MAuDy1442SjtvzuQGReEkONKGAE1RNYxSkWZP5dLFOouL7tizKIzETM5RNMpkm9ExaTd6lGsH46RRFIJmaCRJpmZbXW9RLpexDHvsWyRETJIwk2Dbqvcoz09aBKRpShwnmQnkkH828krSTY12o8fWegdZ7aEbahYJYerDe4nptAY4MwJORRhjHCKrH30fMl7RousgSdJYsm+aGv1+yNqlXSQRMehnIo04Tuh2e2xsbKCpJk6uhuPYLC7Og8S4O1Tfb9Bp92eGz2Yyc3X8/o9HY6ZGpzXg/Is7FPMOuZyJaWlZpMqhQGHHMdGHD06H94RIxLQ7fQrFyYlBFo46Sp0fdk0VmVwu68hIErz4whbrGyGqKpPLWVhW9r6NOkelcv5IZ0keKuGyqBr/iFHkqA5ee9SBezSWS5KE/UZr4nVXW4ZhIIS4JjrHrHoNAN1gdS0tubvvvpuTJ0/ycz/3c0e6Iq+2bpQOUK1W45FHHhmTuUeS18N1o4/ALgctZ86c4bHHHuPZZ5/lp37qpyZiSF7JWtNq5XU3T+3ixJHA7/tYpWwMo9sGuVIBe7FGq9untbrF3EIZKx+gGfoYeEwff0msrKxQnavy5CefoFqoohoaXI69kxRZUcnXMo7EXrdPkrQAH0WWae93KE/pKsVxTND3M0+hGTlmqqWDetClGQGhOEnYubhNtNNBJCluIYduaqhAfXef7dVdygslKu0qhUKBcrnCyZOn6Ht9Lp2/hKpZSNqkhDeOYlIZdEvHiE00U8ewdLxByNZLeySRzwnbzIDboU0gHnaVbHdyFJV54sRYeXumrD5FolApkCs7GOUKq9tdtLRDtWKzv9ehtlSZeCIfjSumOVmP1p3mKg3Z2CkME+aWqqi6yk47IZV8Oi0vIzOHYmi4OAPMTVFTjc7Zbnjky0c7CCMgZFo6pfkyWjHHi5e6FC2ZxUUX3w+JQkGv51OakjmWxWpkAaezzqsok9lgmq5ipSmKKuNUymzV+8g7bRaHbta6rpLEIY4Tsb6+xs7OFnbOplAoUK3OUa3M49jzyJpPnET0ut0xUDnwFZocExqGhmULTFvHnbNZ266jywrz80VMU0ORZbqdAa5roRvZe3y4AxQNeVKzRnKtZpdSZbJLM3IML5Vz1OZd/KjP9oU6C3MVnLyFIsuZi/b80TFtRoLOUucNfXqemYiyoNhazZ0Y8WbXn/L8s9c+lXg1LtDTSpZl8vnJ79KNVP/gANAr+UBs2+bd7343d9xxB81m81jBD1yfKAx4ZR2gN7zhDTz44IP86Z/+Kb/wC78wE/0fd7cqDMNjV4GNQN/nfu7n8s53vpMPfehD/PZv//YrXuvlZPBm3qZyenECNKRpShwJzJw9PpamQy8MyySOYiTLoq+a9C7tUy7nyDlWBijihF47U39JsoQsK5w5cwbTMnn6yafY29plbq6GyrRzxliFHLplICsKqqGjWjl2Nzbp7+6hkFIYGi8e/uEcSeMPj6LGx0RMEsYYOZMoPfqdkCQJRVUoLFTIuTZBFHNpdZ9SwcYtjMZwmW/QYNBnMOizvb2FoqiYukkqJG6+9WYK5QKdTodWK+sOBX6A7wcohoISHeIj2RkQioVgf6vJ2kabBZGQd60jo7FBP8CtTD45Zx4+HtYVwJGdt1B1Fd3Qybn2eGx0cWOfQdujUMqjDxV5o27OqMNTmMKJOYgWmS3lF6HAtA0My6BYLIJmsPFChPCaKLGgOiVMdHReO2fN7OjNDLsVMX3Pp1x1ybkWlmMS+hHn1nuc3htQr2dBttM3fUGz6bF4wpxCEk8JIoE7y7VbxCBJFMt5ZFUmGISs73rIIqJWy5MmGrX5rIuWkuJ5Hp7nsbm5idcLCAOZO+48SW1+BUVR6HS7tNttdnf3aTX7zE0hbEMG2spVh1IlR6FoE/gRa5v76IpKwbXZ229RKC2Ou2ij5PRRREupZKPPjPMIqU05NspJq1ZdCsUcaZqSy2l4PY/t8w0KTo5Wu8fCYunI67L8uiG/rTLZ4YThCDIQU7lBSZLi+xEvvbg1cexq67gVYKOIkRu5/sEBINd1r2r8derUKR5++GF2d3f50R/9Ud773vce+7VcrxHY1XaARkaAP/dzP8cf/uEfXvHvHjdgOW4VWBRF2LbN137t1/LP//k/5/3vfz+f/OQnr2mtl5PUL991FlXVJjcCEdNv9zDcPPIhT5tRnEQSx7gLc1hujth16AcBzdU6xaKFImcMEEVT0XWDW27JnJ2ffeZZ+t0eg94ARdeQoqNKlTgS9FodcuXS2EhPURVSBcxiniiMGHgBG+tN5hdjTNsc+xWJSAzDO2fEeIgUVdOGXj+HzilivJaHVXQwHZs0SdFMnSCIuLhaxyDGsCa/13Es2NvdY3ezQcNrUSgXKBQKzM3NcdNNN9Hcb3IxWUU3dIL4aMdu9G+2cqKGrqt4kchGY5XMKyUKIzR9uqmiiGIGnk9+BjjqtT1sN3fkM8/UVypR1SVBYrsZUW/us7RYyNRKRva+BH40M+W+2+zhzCBHCxFjOQcgRjc03LxDeb5Eu6GyeWGTIG2j65kjsT5ysh4aMubys2Tqs8dUIorpdQY4RScDlsPRWM616cUSL55vkrNV+l62CR52phZRAkgzIx+a9R6VucmR3Oi8ubyFqiuoqpKNqIZu1qubLQxFZ6U7YDAIhyOk7N9VEifZtUgpG5vrbG1vjLmY5VKJglsmn1tCNQSR8Ol2OiQjM0cR02n75PJmds0a6IZ64KdzaR/fyxLY7VyUefAMfXWEiGnUe1Rr+amdlkjEM32SokhQr/dYWCyMw3Rzjolp6eQcne3NFj2vR6fdR5LBsoyhNYJM4Ac0Gl0WV6ZHZ0RRjG3NtmJ46cUthJj0BrraOm4TxFEMz41c/+AAULFYfNm/80/+yT/hW7/1W/nwhz/Mhz70IZaWlq5Lp+Z6jcBeDliZpsm73/1ubrnllqlGgLPWPG4O0HECKkmSeOMb34jv+686pmPUBVMUhTiOJ44vv+GWmeOvwI+wK9MCTAVes4tTKyGrKrKqohoaqmHg9X3aFzdxCyaaonPz2bN0u11WV1dJ04RYxJh21qGQRDhxThEmyJf9KPq+j5SSkWUXKkiyTGPgI3b3mJvLY5g6/W4fpzxdcRZHglTOOCt+NHks9EPyw/dAkiV0y0AbRnbsXtxG6nvIikqhnMtk9bqWWQCEAqfkIGvykSd9VVVRJRXTssi7eSq1KsVicagsaxP6Id22R3mxipmz0JME3dDxgpCdc/voCArl6Q83IhJo5pXBkVuZ7rUT9EPKC2V0Syf0I9Z3u8hxm6XFAoEfYdozDA6HXYLi3HTA0Gv3sd3cIXCUGRGO5PqFShG34rJZ90nDNsuLBQxTI0lTer0AtzzleuOEwSCY3YkZAd7LYigMU8d2bGTDQHNdLqx7uFafubkcpqUPZd0xhfKsblac+STNAEe9Tp+ce5S4PuLqRFFM2Jdo9WUuXthncXifpqllKq1mj8UxmMgSyAeDAdvb23TaA5BMbr7tBEvLp9A0je6wO7S9tUe3M6BQOuhAZPeaAYhSxaaX09nc7+AHKXs3tfD9CMNQM2AbhNPVXzPiPA6/F7GYjL9QFDmzP7A0TtxUIqLH+fMtFucrWDmDuWqWZi+SZGZ0ht8PMv7PDFL2s0+vTfz5K6nj7gDBayqwG66uBIA0TeObvumb+OzP/mz+83/+zzz++OPAgQrsWnLErlRBEGQ//NfgTv1y684CQEtLSzz66KO0Wi0efPBBOp3OVa153B2b4+woLS8v87a3vQ0hBA8//DD9fv9VrTcCPdMAkF1yyRXyE6692cgjwszbR8DRGACJiDQF5dA9S7KMZhnZd0rTcBZPsrBwmmf/9ln6gYc2JGwO2h6mm0NRj3rUHB5/Td/cI5I0RdV1NEvPZPqWScsP6K9vo0QhczfNk6QJCkf5NH7PR9JklFSFQ2/naGRkONYECJRkCVmRUXSN/HyJARKN1QZFx6BYyiHJ0Gp0KUzJ9wrDkHqjToLEwulFGtsNQGK+VuP06ZvY3tjBUnKkhkQYR0f4SKSwfX6LbtgmkSTc4QhL1dRMcj8IyBfzUzsxsRDZGG18LwefaxzFDPo+TsVF07Wxaiz0I1a323j1JovL5aGvjnI0dDUSGJY+I3JD0Pd8nEMgZuTDE4sMkBWrBZxCjtixCPwcm3WPNGhTyOuQplNHtJn1gMf8ij3VyygMoiE4uuxzQyKKQlRNpVBxkKQ8oR/x0mqToqVQKOrs73apLc0OBLVy5kxw1O355CuT1IMkSSCF+eUyxXkXY6/M6k4PLWmzuFhAiBgRzVD1DZPuc27K5uYGm5sbmIZBoZB1FW3TpVI6gWJEBMGATqcz/rec5XCFVOZcDFNHkhTqHZ/V1T3mawX8QGAY0zstYZRJ55eWp4/doigm55gzbQR6nQHLJ8qYlkbOifC8DpvnQgpumSROsCwdbUZ0RqPZY+VEeepYNIpinnl2feLPX0kdtwdQmqavAaAbrcrl8tQ/r9VqPPzwwyRJwgMPPMDe3t742OhLcdxBcaN1R+z746pZ3Zr777+f7/qu7+JjH/sYv/IrvzJh/PVyax73COw41nvTm97Ee9/7Xl588UX6/f6rBj+ja4MMEF9Oni7ffobd3Q6VBOyCnRGZNTXr8DS6WKXikUynNE0zDxo/xCpN34STOOH217+OpVtO89L587RaPQaNFo6pYtk6vU4Pq+zCZS632firS65cnMiRSpKEKIiwiy6yppAm6YFfkWWQJCnNzTrxZptanGI5mY+RomYmbv2uh6qryNHRDW802rGnjHYOAJmD5dhIkoxm6IRhxMX1JiYJkR/g1qaMoqJs3VHgqu8HNBp1Njc3sqBIAU65wMrpk0hAu9Oh3WrR7nRQVB+rkCM/V2QQJ+yv1qkUTNxCpuDptjzmpoCCEdg47OFz+PlGCDE2hxzVCAilaUqr0WOvHdH1ss6Fbmrohk6aJPR7PvkZYZUiGrlKH/r5lSQgI1V7nWzEJUnSESfrgWextrYLUUTV80nTrAs22oijKAZpOnF3xFeqLk4fr4RhRL6QQ9O1jMh7SD7/4oVdon6ffMkZZo0d/LsVIqbX9cm7syMfsoe8GSCm3qO2sIBp6eQL9ljGvrrdxe90cHL6UBGXToSfdrsBhfIBsPKDAH93l63tHdqNPlYux6nTyywvL3P27Fl6vR7tdpvNjR2iMEYbjhcty8YpGlhFm4vr+wy6AYsLBeJ40kVbRDFpMiOGRWTO3e6M1PkwEqRkfkaqquDklQwI5SI8v8Perp9l9gURliwdAZsiyuwtppKjRaYm3Fh7ZUkEl9dxk6CTJHmNA3Sj1bTsrTe+8Y285z3vmUkEHgGV4/6CHA4u9Tzv2Na9vAMkSRJf+ZVfyZd8yZfwUz/1U9dk3njcI7DjAEBf8RVfwb/8l/+Sn/qpn8J1Xe69995jubbDHaDLa/ENt5OrlvHjmPZGk3xOwyk4xEJkSphp8uwwxGt1yc9XkS7nSKRw0/IKWs7mpfPnsvGlk0PRdUQYsr62jUZM5IcEfnCkAxlHgjic7ik0Grnla5MJ7lmTI6W4UkM1NLqhYO/iPpVyDse1M7BrGlmIa39y3dAPcWecs9fsYB0CZJqpo+oaiqrS2W/S8wdou21IGXdeMndiQTLMMbvcEdnvD4aqsgr1ThPHcSgUCiwuLnLy5Cm2V7colTskcorX99BMHT+IqK82sJQUEURMZIOQbRzdVp/aiQwcHcZHsYjxB8FMDo8kSeQKOUq1MkmSsFn3IMxGYykp7WaPhXxuEnTFCf5g6JA94cScgS5ZnTQ4VDU141XJCu5iia2WIN3usrToYlpDvlIoKMwcf8XESTIViMQiQQQppm0cyQYbcYTCoMT+jsz69oCeFzFXzY2BUJa0PiBfdKZ2naIwGvoVTTf1i+IsCmT0vR7J51VNYX0Q0hwkJGut4QhQxRiS0KMoU8FNM64UIqZe71BV5XF3yDAMXNelUChw6tRp5uZOoRoxg4FHHGe8qXwh84g7195iq97FDwTz81mXyBgqxSIR414WTnv4ftrtPu6M1PlYJBSK9hE/oxEQcgs2+w0PP/Y5d26DxYUKds7EsvTx/RYK9szP9tlnXt34C45/BJYkyWsdoButqtXq+H/LssxXfdVX8cVf/MUTieCHSwhBFEVYljU1O+paKzNKO34idBAEY+Sdy+V473vfy9LSEo888girq6vXtOaNBIAMw+Dd7343t956K9/zPd/DhQsXeOtb33psHapZAMhdmscul9BzGfFXNQyiMGJzo44SBVj5HKTpkafGNM3ysqblcBmGwcriMv3dJucvXEAZPllLsoRmZnwa2TbBMNjZ91jc7YCaEAUhipqlxltFZyYASiXpyMjt8LF+y8NdrKLbFomRoBgavSBk/8IuahLhVgtIsjQ5chMx5pTxF2SgIQpjnClhl7IqE4uE4okFUk1ldbOFo8uUq3k0TSMKIpxyfuxkfTkYQZKyc6YpvW6XXrfLxvo6aQJJX7BweoXFlSXiOKHTbtNsNtgzdOpbewwGAeZ+m2KcoJva2PsnHo5XplkeCBHTa3pUViY3syROCPyAfNnFsI2xk3Xoh2w1+vTrTTQlI30nSXIEgI4csqvL1aPrStJBfMgsz6ZIoKoK+VIeWZYIfYedlofY7FCrWuzvdVhYmZvqDSREjOPO4PAIQSyY6cskopjacgXd1IhCwfm1NnlTYq6ayyIfLuMVHVxvRo6uXiFWw3FtDCPjhx2urCEmMbdURVZkLu120eKApcUCmi7j++Hs9PdQEIZHbRKCIGBvb4+trW32d7uUqmVOnlpiYWER284CR5eXl1lPd7DsJrXFMkhwaauNKUvMz7vIipKlsF+B/5PFVUyPv2g1+xRL0/2MkCRyOQvVKJAC3W6Pre06C/MVdEOl0ehQLs+4XxHzzKePBwAd5wgMXuMA3XA1NzcHZMDgS7/0S3nLW97Cww8/zNralb9A1zO367gJ1mEYUi6XOXXqFI8++ijr6+s89NBDr6rLdKOMwGq1Go899hie5x3hMF1tftfVVJJkieyXX1/t9bei6AcgRTV0FC1L8W5d2mIQ+0Rxg0LVzboeukYsBEkksMuFI2TjfD7PmTNnWbtwkXMvvYgzd1QWC5mqLIlTcsU8sqLgqTp+q8Pu2j6Fok17v0VxsTY1+ysahOSK0/194uGmNTomKzK6ZaIZOqTQWN/hVGmZfqvP7tYuqZSpwWIh8FoeZiE3Y/wlMN3ZJo+xSDBz1pD8rSGCiLWtNnoqSIMwc8CWpIlIiFGO2TQ+jd8fUN9pEqop23u7OI5DsVBg5cQJVpZPsH1xk47v0e97XFrfoWCrFIfdl6AfkD9iqpiNoQ6/R7OASK/Zo7x4AGJGoypVV4kiQb8fsL7WYmkpzToppoYsy5miboortyRBGIR0mx6V+fKEZ9MoyiNfzDbBzKNGHY6pcmztNmjvebglF21oBDgCQrGI6bR6M+M6YpGAPNvMsdcdUHOznKuDrlDGEUqDPqWyQ5KkE+OiKIqJ4+njolgkdNsDcq6d5VtdHkQ67GxaOXN4PzqBH7K62yXp9xChYOlUdWJdyMCr7VhTHauFiGk1Pey8Ne4OVSoVVlZWMAyDkysnWFw4iWZAt9dlL1+n1+1zcauFFMYMBj5OwZq418zDR8wkKYsosyCo1iYBQZIMeXWWjBzrmSu6qZHLm3g9j0uXukRhTM4xiOPkyGhsBCSfeZUEaDj+CQe8lgV2w9UIAKmqyuOPP85v/dZvXRXqvV6ePccRXDptzaWlJX74h3+Y3/md3+FDH/rQqyZvH1fC/OH1XikAuuuuu3j44YfHo8rDBOXjNmq83AtIUmRqd96MfBnIkmQJWZJRLYtcpUwK7Ox0MCRBca6ILIMsQNUOXKOr1SonT57kwrnznH/meQzXmVBiZYAiwsjnUHUNWVGwXAdkCbolNrf3EF2PXClE0VU0XR+vP+IGuQuT5odJHOMPBlgld8q9yOimwZs/93OQDJW/fu48vd19XEenUMo8TfxBgFMtICEdIYLHkaDb6GbrXtY5S5OMG2QXcyjDkZdm6MOke51eq0Nzr4tQWqiaij/wxyAojmI6jR7F+clR3ggc5YoOiqaQpgndbodut8Pa+hpxEKPEMiduPUWpWqHf86jv7rO3uom/22DQ8Zg/VTsyHUvT4bp+lIGjGd0hSZ4OjiQkojCmPF9G0VS2233irQ5LiwUMXSXwA9ypZoISURCRxDOAyGVRHqNStSz8NAwcohhaA4lGc5/FRTcLBbWyxHa/H1KeokjLRn0xssqMoFdxxBDw8GhMkmD1XMBgPyAUTWq1PIahjY0FRRTjzBgXjZLuixUXSZLG8nUY8dcExUPhs6PRmGHqtOoaW+d3iNfaaJoyDj8d2QT0Oj5uwZzRHYqzh5fDJppxQhRFvPD8i2yuNZk/UePkqSVqtRqnT5+m3++zu7PP+ZcusfvcGlubLRRZwjS1cWRKlpPmUa0506XzkUDTlZkcnsBPUTWZOM1eq6oKjqNgmhpJkrB2qc7a2j5pAk7exDS1zP9KxKyt7tPrvfrOzWsqsL/nlaYpH/zgB4FsE7qaXKhRDQaDa8oRe7k67g6QLMvcd9993HzzzfzwD/8wf/M3f3Ms64ZheKz3/0oByyij7H/8j//B7//+708cP84O0Gi9wwCocstpdNuaEmAaE/kDrHIRzbZBAlXXicOQ3b0uUr9He+EUaZKQJiknT52kUqny4osvUt/ZIxwE2OXixPnjSNBvdjEqhwjOkoRqGui2SZh3QDfY7wYozR5z88XMANHQiEOBpMgzuz+DtkdhcZKfYmg6ZxdO0Pb77O7sotoGzlKNMAxZXWuipwJNk0nTlCRNsgBPUkAiFjFhKHCmhpQeJmsfdSdWNBVFVXGXaqi2ycZuj6W9Hv2wR+iHiDDL4ZrauRgSpwszwJHX65EiIS5dZG1jHSefp+C63H7f6+k2O7Q265D6iCAmldLxQ4KIssT50uJkJybbnA9A1+UlIkFCim4ZWcCroREGNrudAX5zHzkW1Faql9OcsiDSKMIpXcH9eUqUR/b+xvieT6lWxLQNoiDHXndAtLHH4kI+68Lo0+NORBTT7wVjLtbl9zrKMpvsWGVmnbqhU1mqIAEXNtrYWsp8LY8iy7RaPdzS9K5TFmGRKa0uV9dGYRa6Oi0HTdUUDMugulTGcXOs7Q/A73BiJQN8aZrS6QzIFyc7D5nBYUyxnD/SHcpywLIxoTfwicKAzY1NNjcyewbXzeM4Lrfdfhtnbr6ZSITsbe/T3mlQKGTxFyJOCIJwKugaSedLM1y0s7BXGUWfBE7yMBV+5VQVyzbwBgE755rM10o4jkGSpnz6qWujNVxehmHQ7XZf/i++gnoNAN0g1ev1eMc73jHm+VyN983hul4jsOPsLLmuy4MPPsjy8jIvvvjisYEfyABQoTCp3rnWuloApKoq3/It38L9998/NaNsVNcDAB2+voXX34o8jSMRCQZND2fBGW+WynD8JSkyvSDCi2Q6ez3uuvckhqrx6U8/PczEijDzOZQpoCGJBCKOsQ+dM0kSyqUyQX9AsNdGLbkouk4chOy2B0h+i3Ilj98fYBbyM/19VF2fAEfFYpHF2jwXP/0CTTFAt8wxF0nVNSRJprWxQzKISJQmpao77OKoQEoSxePx1+UbWjx0PZ7OGxIMOj2cagnTsTFsk4Gus7cT0NjcxTaUTE4+oztBOt25OI5ivFaPwpAEniQZN6jTbmcgxgswDItKbZFyLo8sQiRVEAXRGHTN8g3qzuhIpUMXYKd4wGVSNBVLU9FNHWSJnYvbhBtNkCUs28QwM1PKrEsTYZrGZJJ9mjkT2+7sKI9BP8CtFsajON3UCR2LvY5HY3OHhYUCYRhlNgWH1o+GvKKpBoejLLP5SSAy4oM5RQc7Z2Zj1CEP6uJGB0n4hL6PU7AnxkVxnBAMIgrlbJQqyfLYhBCGLuTprNFZTK/j4Rbz5Is5bMci8EPW9z0Sv0PJ1YhEgqJMJ703Gj3Kc4Ujn508PH8UxhimcQTECCFoNJpsb+2yfmmflTOLLC8vcPb208jcTL/Tp99uMeg3MrXbDI+eZqPH4lJxqgJPRDGaoaIok55jUSRo1j3mForkXQvL1rFzOn3PZ+d8C8vSefrJ4wFApmledV7i1dZrAOgGqNXVVd7+9reztLTE448/zsLCwiteY+QFdNx1XMDq5ptv5pFHHuH555/nj/7oj3jb2952DFd3UNeDBP1y6xWLRR555BFUVeXBBx+kXp8t87yeIzA9Z1E+cxJFPbr+iPeimObEOCkriTQBs1zmtjf9I7xulyf+6s/Il21kWabX6ODMlaaMjLIug1l0j4CGzY1NBoMBhqpxz31vJLZ1BsGAdqtNs9EgGljsNNv4e/vMrcjow47QaP1YxAx6A8yCM3aqBpifn2dpaYlnn3yKrb0dnNpRq4iRvw+KjDtfJZFlNrbbmHJKpZaRpdv1Nna5kJ0r5QAEpQzHX7PJ2rFIxsdUXcMpuvT6Hs1eh/VLWxi6gj50sM6iKOShqWKEXZq+rhiGlE7r0sRRTGO3gVsrIxq7bO5uYWomc/kCKoKl+WXmKvPoOZ2e18MP/EOvHa47dZQh6DW7uFMckUfp8+XlOUzHojEICXf2WKjlsXImQS4gEbM3/W7bwy7M9jIyrKNyfUVVsJzs96q+Y9IOVTrn6ywu5LFzRhYKKkuEQYTjFqarqaKYOE5nKMcyXlHukL+Sbmhoega+mnstOk2fjY3O0HVaG47NsnFRq+lRG3Z45KFTOhwQtmdaCIgYrxfilidHY4O+xdrqHnEY4vVCkhTMQ1woEcWEU6IkJEkiCkVmXFmaThSPophIxERRyPbOdvaZSjKmYSObGoqocdvtSxRLCpEICIIBYZiNk6LwClyoOKHfD7BsFSEm8wpFFBNF8XiMqKoKqqOMTRU3VhucP7898bprqesxAnuNA3QDVK1W453vfCfvfOc7URRl/ET4SmowGFw3DtCrBUCf//mfzzd/8zfz67/+63z4wx/m/vvvP/Zu1fUgQQMzTSDPnj3LY489xtNPP81//+///WXDTK9HB2i0Xu11Gfl5YhwiYvxOD8M5CihgyHsREZWlRcy8Q7/ZZHVvF6VYoeMN8Pd3USSBVcyTiPjI6+NI4LW65GrlI7J5EQt2tnfoN9rIuk51aZ5SqcyJkyc5e/YsnW6XjQsX2UkkepFMd3WPUtXBtExUQ8/GX70+xWFityRJnDx5klKpxLOffoatSxuz+UhCYOQcjJyNpMioho4IQjZ3u0h9jzSKsYputpHJjEc8IorwWr0hOJKPcIfSJB16FU2eUzX0zGPJNLCqZXZbIemgTW2hgGFogESn0cWtlaZ2YkQYDYnT07tOSQLKcPyiaipRGtFLQuKex+N/9jgnlmrc9rrTnD19FhTodro0mw16zR65GSqtOBJEYrYtQa/Zxa4UsPM2cc4kypk0+wFbO3uoadZ5mJX9NfBC3Op0IDLwfJzC9FFTmqaYOYvifJE0SWn0Aza391mcz6OpMo16l/JcdeK8IyCSm6UcG/KKCnOTYEJVFRRVZeHUIqqhsbrVRU07LC256EamJEvS9AivaPR7HIuYdtMjP2N0JqJ43OU6XJqukqYGkqpQrMyz00mItuqcWHIx7aGzdCSGGWpH15VlGT8Iabc85pcq09+LKMZxrSN8piRN6Ps9Aj/k3HPbLCxXKXYKLJRdlpZOoKkyQdhn9dIWpdJgunQ+jGm1+hiGRjTFCk6IYYzIFGdpXdfY223zKumd4zruKAz4e94BqtfrPP/889x6661H5OU3Wo2iH0alKMorBkDXcwR2reuqqso73vEOPvuzP5v3ve99PPnkk8Dxd2vg+mR3QWY2eDkA+rzP+zy+7du+jQ9+8IN8+MMfvqr1jhsAHe4AVW6+iSROSJPkCCBJooioH2IWpuWCCUqmzYlbb0NWFLa3tpAUBc22kLVMwh72Q/Y32hSqEWbeylRlamaqKM2UsEcM2j2chSrdbo9utwerq5imSd5xKOULrPzjz0HSNeq7ezR299he2yRfNFHSrMOiaJkx3dmzWabZs88+Q7fVIfTDIzEeh++l3+xiFt0xUButo2gafSnrZqWbTWqAamoZcVvO8sai6GD8lZKOQVASx/RH8SCXE0eTBBFG5KtlrFKeNEkQQY79Tp/Ya+M6Gv7ApziFcCoiQe8K4CgKxZDDc3CvI2K2bhrEUsp+FLHziafQE8HNN69QrVVZXFyimpujG/VJ5JR2qzUG5mPAUMhN5wYNOVLu8P1TFAUll5lPqoZGvRejSTFx0iPnWBjmwdhPRALdnhHlMYzVmMtPd38O/JB8OY9hGFlkialj2ibtQUDzwi4qEWEQEUZH805EFNNpdMnPMO88iBeZfqzX9qgsVbEdC9MyCIOItZ0usmjjWCqmpY87k4dHptFwnFeqFSfWHXkoFcqzwRGSRKHkoKgygZ9ju9Mn3KyzULPxugPcYn7CsFGSJMIgJE2lGe9xQrfTJ1ewZ/CZshGWmdMJU58X1jv87bMvUHZsTp6oYBkl7n/zCeyclkW7dDoMhoatQsSkqYRp6HQ68WXnzQjdeXc6oVuImBeeufbIn8vrH2IHaPLX4yrrgx/8IDfffDPf8R3fwcmTJ8fk4qeffpr777+fUqnEQw89dIQL8Jk+NquupZNxPUdg19JZKpfL/OAP/iA333wzDzzwwBj8wPUJWT1uUDXaOA6vKcsyX//1X8873vEO/tN/+k9XDX7g+EdgQghkWcaenydKczTXG/itLtHAH4KhFBFFGIU88uXnlSQW5ue56aYzXFpfzb6Th/10koTID8lVK9gLiwxii51LTTq7LQbtLoOOh1kuTB2rJZHIOEaXndP3fTbX1nnyrz7JM88/x87uLrmCy5333c2b/5/PZ27lLLEvkQiQEzh7+ixJkvLcc8/h+wGxEJiOPbN7IaJJDo8kSUhypl5ylmqotSo77YDNi7v02x5Bb0A0CLLRzeF4kGEHSITZpjt1hBVmztrKcOSlqCpGzsKuFDHnKux3Irp9gdfx8L3BEUVgPDRVVGcRshudbDQ44ZeTIEJBrlIkV8pn48lSkWcv7vKnf/pJ/vSP/ow//dO/wA8CKuUyr3/DG7jrda9j5cQJLMum2+phWMaEf9TYIXvK+6sM/aFs28KsFukkGhcu1dnfa9PvDgj8IHOrntHhicf5XtNHWJ1m5ug95qcpCmbOJFd0cObKRHqe7R2fxm6Hfm+Q8arIQIx/haDXvhdcsUsDB2BCGwaulhbKaG6JC+tddnY9+r0B/iAYkuoPCOiGZcwcu7WH9zPVV0jEOPnMLFDVVHJ5i1KtSGmpxm474eKlNr2uT98LiOODB+AMAAnc4uxuV6/nT/dJGibHF0pOpvLSVfIFm1KtiC/DJx4/x//5vT/hU598kvX1LWzb5o7bb+fuu+/m1E03kcs5VOYKGKZ+RAkHI2PFwdT3Ik1Toijm+U+/uviLw3XcPkCaph3rQ+n1qGsCQK1Wi3e/+938yZ/8CY8//jg/8zM/wyOPPEIQBHzxF38xb3zjG/mbv/kbnnnmGT7wgQ8AfMaPXamuZSO/niOwV3o9d955Jz/yIz/CxsYG3/M933MktuNa13y5uh5hqHAARnO5HP/u3/073vjGN/LQQw/xxBNPvOL1jnsEJssyc3e9Drsyh16cp9uR2b+4T7/Zwe908HabqMZR0qqiKpw9c4acYfLUiy/QH7o3H/EMiQSSpKAYOqppYuQd7PkFAhx2LjZobu4hgohEiKNkYiEIun3MQn5y5JamJCJGtW0kWabZbHLx4kWeeuppLm2sIyRYPHWam+++n9Mnbqe73+bccy8S+j5xFNFvddFy5vRRXigysvYUgJlEgjhJ0G0Tw7GxKkW0uSr7nYjVC9vsr+0N7yGdWDcKIkz3UCdGklBVFV3XicKIOE0nAYOqoOoaSQr2Yo1OorF2cZ/2fhu/N0AEESISM8dfIhLEyQxwFMWkfoxuZZ+pqmuYjo1TLaKVy2w3fXb2W1w8d5EnPvUEn/rkp9jc3EBVVVaWVvhHb34Lt9x2K9Xq3BEwnogYr93DyJmzQYypky+75IoO7lKNPjrnL+2zvdFgb6sJEtNVWoPLvYyOrpvO4CslSaZaKi2UyC9VaQmFc+fr7O208LoDBv3gikGvvXYfVZ1UjmUdtqGFwGWv1XQNw9ZRDQNnfo6NuuDc+TqtRg+v2ycKI/re7DDXKBSkKTPBUbfVw7rsPVZVBduxsN0cmuPQjjRePNegsd/D6/nEIh4CnBDT0qdmnYlIoOszUthFTKvuoV8GqDVdxXHtzHvJdri07/Nnf/E8f/PXT/Jnf/oJXnzxJQbegEKhxpvuvxfLMqlUKuRyubErg4ji7Ps+w1hxZ6tFq/nqo39Gddw+QLZtH9ta16uuacfodrv8+I//OK973esAuPvuu2k2m3zkIx+h3W7zoz/6o9i2zfve9z6+4zu+g2/4hm/4jB+7Ul0LkDnsrnyc9Uo7QF/4hV/I137t1/KBD3yA3/u935v6d65HB+i4R2CQXaeqqqysrPA93/M9rK2t8fDDDzMYDF7xWscNgKIoQtE0yrfcimqaSLKMohvEpsWgHzDY20JVEswwItaz7ohhmtxyyy10G02e/Ku/xqxU0IYKk9FGkYiY0OtjFg86PJIsZ0BK00iiEoOGTGunj98LyFfz445PEgkCb4BedKeM3GIGrS5mYdLfx/M8Gp0eedvl1rOn2d3fJ4lSlubPoMmCenOX1PJBn/zOjDomuerkmGrUBcsA2VD1pGaydtUwSBWZzvoO0XaTVALTNodjPmUs83cOjakMXeeWW2/F63ns7e6RG5LAJ1VlEUgSlusgqyqaZdAdBOxf2qeQ0xn0PMpL1Rnjr4hcYZJzBEPitKpPHFM0FS1NQZKxFmrUg5R4f4/afJ5Br8/e7h5+P4BE5sTZU1Tnqtx00yn6g4ygvrO5jT8IyVVn+PD0BqiL+jBQ9SDkVTV1evUOTS/E2u8gSfIRJ2sRCtpNj+pSZbpxYiTIzYihiKOYKBRohobt2DhFl+LKPAM/ZPulfdQkpFItTHQlRu+TNGtjjgTtljf0wJoGJjLlWL6YcUNCP0e9r9CrN/H7Pfa3W5w4uzCTk5Sf6ZIdM+iHFKfwpJIkIYljaisVHMcmDB0aA5+N7QaL8zlMw6Pfj6beTwYUM8XaLPfnIBRTTReTJCFJYPFEBTNnIiLBesMj7u9zoh9CssXmVptbbl/hs95yP4auc+utt0Ka0my1uHhundo8M32Unnv6+Lo/cPwdoBt9/AXXCIBOnDjB13zN1wDZRvH+97+fL//yL+dv//Zv+azP+qwx8nvDG94w9tr5TB+7Ul3LKMv3/evCc/J9/6rk5bqu8+3f/u3cfffd/If/8B94/vnnZ/7d62WueJwjJsi+O2984xv56q/+an73d3+XD37wg9ds2HjcAM3zPIzlFSJDH/N+ZEVBtixkVSWyXZJUobXdwy6GzC3Nc8vpMzSbTc4//zyo6ng0dngCFkcRYW+A40yCGJKEOIiwa3OohkEcRjS2Oihym/xcnjgI0Rx7hrw9Ip4hNU8iQc0tMXfqJi6urtJpt0nTlPVoC0PT0P2A2twC5RM1YlIGfp92p4sf+AddhBlkYq/ZxZoCjiRZQpZl8ks1dMukE0bUV/coFXNYeYskjjN/n+G6juNw8803U6/XuXDuPL39Fs5Qwj7qoKVpSpJkYypr2OGR5AMXa80y6TY7dFt9VKuHoqoZkBhFXwiB1+zhXGYmCCOzxojUmuGfJDIlT6GQgS5hWzQGPtH2HpWSSb/Tx50rsbe/y97+7tA/pkChWODEygmWFk4QyzG9QZ9Ou00kouHnJuh3B2NjwVHJcqYaU1SF0olFhK5xab2Ja6uUyvkxmRik6Z0uITIOT2XKvY4iTWxrbFsgyRKGZWRhrsDWuU0GOz2iJKVYymGYOpquXtEbCLKNWYRi5ujM6/ax8xmXZkRAL1RcAhFwcX2bTjug3B2gKAq6qY07MiNJfqFamJlIrxvazGtqN3qUayVUPXPrNkwNyzbpDAJWN3qoUoysRFkO2SGgE4UxrUaPueXpIbIiElj2bNPF1tDPyBiaJhqmRuDn2Gr3aW3tY5sK/b5PHCdcvHSJKAzJ5XKYpo3jVLnpzBlMe8gdarfp9XrD8Ze4LgDoODtAf28B0Kj+9m//ln/6T/8puq7z3HPP8QM/8AOcPn16fFySJBRFodls0ul0PqPHSqXJaIFRXUtr7no5QV9Nt6ZWq/Hoo4/i+z4PPPAAzWbzZdeUZTnLWLqM3HitddwAIzNSk/nar/1afuInfoK/+Iu/eFXrjUZqiqIc4YNca/m+j3nyFLE6CfrSOPuRtyoVZEWhWMhzqrrA8088TWfQxW91MEql8Tgp28CHBoJCoNn2JG+IDMREgY9RKqHoOrKmoRiZqWJzu0nY2qewVB13QEYb20j1ZLrOxLqSJHFieRkbnXMXLyKSePzniq7hBwHbm1vsdHoY6zvMlxzmT85z9qbTJMD26jqGahJP+aWIoygDMfr0vLFBq4tTK6PnbNQ4QbMMvCCkubqHmiZY+cwjplQqcfr0adbX19nd3UWEw3UP3csIGCdRjNfs4MxXkOQDVVnWRdNRDJ3c0gKxabC+3iRvqRQqeTRDIwojRJzM5Ab5PhQq6nTAEIksAkRTs1w3NSMwC9ui3uzQ2e0iGQaqfpCW3mjU2dvZobHbojRXYenkMvO1GqdP30Tf69Nut9lYXc+iQTRtAvzHIuM4FZeqGJaJbhuIMOLSRgtbA0OVMHPm1OTxjHwez7jXGK/jYeWHPjzSwfsrydlvaK6YpzBXRKQpF9db5E2ZSsUBSaJZ71JdnHQZz7o0IlOOzSBOex0fp5A/Av51Q8fKmViOiaLWaIUKe+f2WDgk2RdRTBBM79LEcYLfD2eOzkQUI0Q6aROgKiiqgibb9IOAnbUd5qshrpuR0DVNGdspTM/3ivG6AfkZ5OhpfkbjyBRNoe+FBEnC+Ust7trr0Ov0UTSZnuexs1Pn0sV9zty8xMLiHIVCgbNnzyLLMs1mi3MvrdNuHM9v+6iOWwV2oyvA4FUCoDe84Q38wR/8AQ8++CDf8A3fwK233jqxmZumSb+fzYs/k8euBIByudxEW/3l6noBoJdTgd1zzz1893d/N3/yJ3/CL/7iL06VjF9eIxSv6/qxAaDj5ACZpsl3fud3ous6P/mTP/mqwQ8cACBVVY8FAPUlGbVYRL7siWgEYlTLQTUNTp0+TalQ5Jlnn6XbEgzqXeJBGzXnEAchiq4NAdDINLGNWZzi/ZNmIMZw3PHGP1KCKZpGGsf4nQGep9Dv1nHnHDTbQNG1zGm21SVXKR+NSVBVzpw5S7/Z5ukXX0C1rYk0+kTEyIqKWXRBktjyQlb/+lmUOGBhuUpOMTh15iaKcxU6nQ7tdptWu0UwCIgG4dBwcTqvBUkaAzJZkZGHcnwkiealLXqBx8LSMtVimeeffY5e38vehyDEKuaRp3r4RCQp45HbYVVZHAn8Tg9nroRuWaiWiQgj1jdbWBoYqjLk90y/XimW0KZ8x0e2BJfHfMiKgmbJ6IGFWSnjayarl/YpFS3yro1m6mPvJbsYsLm1yebWJpqq4RYK5HMOp0+d4dSpM+SKOXzfP2ILIUIxjtwYKbg0Q0MzNAbdPhcvbOI6GXDIPHgyq4YR6dp2pyvSxtL5spt9zzj4LRwHvVbdsY+QZmRhtZc220hRQCpE1sG73OBQxHRb3hFvoMOVGf4pE9ckSRJhGOF1BpQXyhiWTujatLyAra195msOaZKgmzOUcJGg0+oxvzJbzu/MSFJPkxTdNNHzJrEUMfAjdi+0qJZ0CgWLYBDiznTnjul2+ziFSVf1IwG008JPh+9XZaGEYWq0Ao1nX6izUDPJOQaBH5FzLCQ5pV6vU6/XkSQJy7IxdAtNKvBf/sv76Xa7PP7443zqU5/imWeeuebf+9ED83F2gFzXPba1rle9KgAkSRL33nsvH/jABzh16hQ/9EM/xNNPP33k73S7XXRdp1wuf0aPXamuBZleTxL0rHW//Mu/nH/1r/4VP/uzP8sf/dEfXfWaI4WVYRivKgD18jWPAwDNz8/z2GOP0el02Nvbo9FoHMPVHZXVH8c/4rZpoioq0mX+Q0kU4bdaWOUat91xB5qm8dzzzxFEEYppodouKAa9Rky/uUd+ziXo9UiTJNu8RTKDTBzhN1vY1bkJkJImCUmckKvVUO0ciRB4no/YrZOvWpBCEiXIh572Tcvk1ltupbG3z5N//UnscmUS/MQJURAM+UjZ5qloWuYZFEZcWm0QNupU9vcoz1epzs9RqVQ4eeoUrXqD7XNreMQIKT2SC5bECZHvYxUn3aglWUZWFHQ3xy2vfz226/Lnf/o4IuxRrBYgTek2shyzafEWURgOx18Hm8ro3LGISBNQhveiWwbJkEsT9DzWL26Sy+lYeRtNz0ZjkiwNuUwxZj6PakzvmMwa6yRxjN/r41SLGI6FsG0GUUhzrUEhb6ApEpKiHCGXRyKiXt9na2OTvdVdVm45xe2F23Ech3vuuQev59FsNFkfrJIrH30PR3J9EQk020Ipl1jb7qKnMfOLxcwoUpLotLzMX2kK2BtJ2Eejs6yTk46PdZs9KksHHZ4x8NI1WvtNOvUu8laLRUlCG3a8JFnKlGNTvIFG34mg7+OW3CmxGjJREBEPjSuz7ow17gy1On32VnepzRcI/BAuG3WJKB6P0ybvdRgEO0NFJ0YqOkPBtM0svsTUCYOI587tg99n6URlIoR0tLaiTOdCxcPQ1VlRICLKMslMSyfn2BQreUpLFZr9gEvP76GngkrtKDUiTVP6fY+93Tq//oH/y1OfXOfuu+/mvvvu493vfjf5fJ6nnnpqDIi2trYmzjurRg/hxwmAjjM54HrVNQGgP/zDP+QjH/kI/+W//JdskeE/0Ntvv52f//mfH/+9ixcvEgQB5XKZ+++//zN67EqVz+df8T1fj9T20brTuljvec97OHv2LN/7vd/L+fPnX9GaSZJcF9+eV8sBesMb3sCDDz7Ixz/+cX7xF3+RH/uxHzs2XtHhDtCrLVnT6Fs2miTBZdk4iRCYhs2dr38dcZLw3LPPjiW1aSyIBh5meQ5F04mjkG6zT1APMuVYq4OenyKbJ+tsSLI685jfamNVa+OOkKLrqKbFwPPwdrawiiZxECFJEqVKhbNnz7Kzs8OFF18EpBmS+oig1SM3P3dknCGr6rh7Y9SW6Ucq3ec2aO7WMfMWpm1j6gaWbbFyagXNNIYchRbtdgc/6OO3PfJTw1gT4jDirvvuozhX4cWXXiJ2LJJAZWu7AwMPdegRlCbpkdfHkcBr9HAWJsFc5hMUHQFHaZoiyzKSrhHrOqpto1RKbO55aCKiOl9AMzSQoNvsUKrOzZCwCwx3tkVAOAjIVTLSr24ZGR9JN/D7PpuX1nFyFuEgyGI79APllIgEsioThD79fp/AD9jb36NQKGDpJreevo1El4mlhHa7RafTIR6+L3EU4wzl+mkhRxRErO95yFFAqWDSafZwKpNP4HEc4/cCnCPJ8AdOzLGIh/lTU7K/FIkoiCmvzKFqKuu7PRQRsbBYyDhJgcCYqRwTdNp9qovWJPdNIlOOFe0j3RJlOKJK0xQME182OHe+QbVkUCjm0I2MIxUF0YyA2SHJvB9SmkJAH/GZNFtDGh6WZRnTzlLvkyRh7XzA6lafIEwoV3IYpjY0XUwz6fwMLlQWbRJQnuJnlCQpUXAwsstsHmSsXAbAZEli9aUtemEHkHALVnZeTTmQvz+9wWAw4BOf+ASf+MQngIybe99993H//ffz9V//9dTrdT71qU/x+OOP89RTT11xvDXa244LAMmy/Pd3BHb77bfzpV/6pdxyyy18wRd8Ad/3fd/H2972Nr7wC7+Qb/7mb+aXf/mX+bqv+zp++Id/mLe+9a0oisI//sf/mHa7/Rk7dqUqFAqvmGx7PdPgDwOgpaUlHnvsMer1Og888MA1h9MdtxJsRIK+FhdtOFCv/ezP/ix/+Id/CByvd08cxyRJcizrlW65FZEIJPUogEziGEtTOfXGN9Ht9dnc2jziwppEEbKioqgasqoiqyqKbjCQbbwWNNb2cefLaKaRcXyGoCSJY0JvgFmY7f0jafoRcCQrCrIy3BwUg1QpUl9rc+bmFRYrc5x78UWazRZhb7juDBKzYuhTQVcSCaK+T642n3WEbJNBENK51MRyOhALNNdh22uTd/MUC0UWFhc5feYMu+ubNDSLQJUI46MjWxm46+bbCTWF5194gTiOh9lk2XvW3c3M+5KtJuX5dBzwKstyNlaTp5N+R6qy/PxR9+w0TYcdHkFuroxVdEiEjQgFOy0PadAi7xr4vQGyIk9klM4af43WjqMY4zJ/n1GGWhInSLpBmi+wud3FUruUq27WpVEUgn42hspeK5GS/ZvY399n0BvQ2mly8vYzVGtzLC0tc+bMWXq9Hvu7+3h7XTTLGIKYzBogy+IK2NhpEvUDgn6AJEnohj4ejYpQ0Ot6VN0D40RJGhpTJglhEOKU81NHZ0LExHGcdUqGYa9hELFZ90j6DXQ5xSm5E6AXhh2PGYTtOIrpd7zMQ2mqZD/FztsUqgXS1MX3Q/YvNCgVdJycwd5Ok8WVuRmqsywmZHpwbdal0XUdkRzt9EqyhKIqFCtF3GqBJEk4v9Yib8LcXLaxN/Y7zC1VZuZ7XdnPqE+plmWSZb+p2TdPUeRMQl90KNeKDNKUnQtNqiWdYsFGUWS215u0W5Py97W1NdbW1vjwhz+MYRi87nWv47777uMbvuEbmJub49lnn+VTn/oUn/rUp1hdPZofZhgGURQdC30AMgD095YEvbS0xG/8xm/w3ve+lwcffJC3v/3t/Mqv/AqqqvKzP/uzfPVXfzUPPfQQcRzz8Y9/PDvRZ/jYlapYLL7ie75eI7DDwOrNb34z73nPe/i93/s9/uf//J/XBDRGddxKsGsdMamqyrd927dx33338e///b/nhRdeOLLmcZsXHkcHyJg/Q9QNEVqICHwULVOCVYpFTparvLSzS8c7+gOUCEHY76HnC0iHrkFWFDTbRjFtlFyVKHWorzax8hpWMfPWSeKYsOehO/mJp+NECMJeFyM/KW9P05Q0jtHzLmaxyPLSneRzOR7/s7+lP2hiuSb9Rht32ZmxroeenxLjkWaKKEU3x0or1TSHXScDv9Ojt7lOPsjGeS0h6Ha7rG+so0oKWpxSqFa4+eQKcZLQbrVot9tEUcRiZY7mdp2tXmtitCNJkIqE3PwcsiJTbw9IBy3KNRdV0wi8AXbJnRnyyiz37KFaLTdXQpJkFE1G0TQ0Syfq2+zt1hH9iEHPp9/xiEU83ojjKAtIzU8bf4mYfruXeRlNM6tLYox8DruUhzSPCLPoEC0RFEoWrd0mtVNLB/c+4uEkCSIMsYsOfb/P+voa6+tr6LpOoVDA0HXecPc9kFMJopB2u02n0wFAl0DWFHKLC9T9lHhvj7mai2UZaKZGPI6SOLjejA+ZAZFuo0dpYUrQ67ATZjn2OLxXHY4RdVPHa2lsX9zEHsSomoJpG2PglQ47HvmZJGVB4At0Z/rozB8E5MsZkX0E6HQz84p66cIOBANK1cJwTHfQYRtxnWbmikUxiUgwTJ3QO/qblnG3fJySg+1kv8+6oREGERc22kjhgDiMqMzgQg0GV/AzigRhKMbHsjT6ZPzZh0FEseLiFHJAOgaaL15sktNTnnz8wsSal1cQBHzyk5/kk5/8JAALCwvce++93HfffXzVV30VvV5vPCp78sknj90DSJKkv78dIIC3v/3tUyXnX/qlXzpOIv/sz/5s5ubm/s6OzaprAUDXawQ2IkF/9Vd/NV/0RV/Ef/2v//VYSMHH3QE67Nx8tf9QSqUSjz76KJIkTVWv3YgAyJpfwVk6Q6iW8Dttmmt7uLUCJ2+6Cce2+NvnniNS9IluQBaLEaA7pQmwIcIQAh+zVMk4PLaDEBGNjQaalqCbCopuHAFOo4qjiKjvo+Un102EIOh0MAslbrvjTgxD54UXXiDUTKS0Qn1jhzSMscMgIyFr2rgTEEeCsB9gFIpTPYWCTg8jn0c6dJ+ZF5KOZuqYpSqSnae+2UNT27i1AoquEYqYztYebb/PTrOO4zgUi0VOnTqFLEm0NnfpJwLTtojCo4TNOBLIupZ1NoZcJBHatPs+QX0bKQoonlwgSWIU+eC9SuKEaOBfARyNHKePftdkWRmT1J3lRRSnRGOng9dsY9gWiq4SC4E1VH9NrCsOxl+Tx4bBs0Ojx0x1p6KZOpEfsbm7j+j4FDwfWZVJ4wOzyBEQKVyWOB+GIbu7Q5ftQLB4aplytcLKygqGbtDtddnd2qa73cZ0cyi6hrAtmoOA3Z09KiWbMAiw8pMxIKPE+ZTpxomxiOm1ehmv67Lvvqpl92UXCzgVlz0vQmzvsjBfwLR0JFmi0/Qo1mZ5A4lM8q7NiDVpepQOZXSNJPuarlGYK9Nte6xv93HbPnO1fMZZ0tWM/9MeUHOuQFIuOpn0v5dedt6YbrtPzT147WESemuvRa/XZmOjzTISuqENzRAlhMgcuOdXJuNJRp9vlu+VfQaHu+oiimk3e1QWRp0lKQOTpo5uajT32jzz9CuPv9je3uYjH/kIH/nIR1BVlTvvvHMMhh588EFWV1eRJImzZ89y/vz5a7YjOVx/rwHQlWp5eZnl5eUb4ti0ejmO0LQadWpeqXrs5UpRFIrFIp/zOZ/Dww8/zPr68Xg7HHd22agDdLVdpVtuuYXHHnuMJ554gp/+6Z+eqk44bgB0HOuVbr8XxbLR7TyJJGOUTrC4sIw68Hn8r/4vklvCLFyWCp8kiDBAz7tTx0mR71MulhD9kDBJUAwDWdeRdR3hedTX1jAsDcNxSPWM3yMN/W/iMERzCyhT3vckitAkhTvueh2SLPHsc89lYy09U1pJsopaXKDXgnR3j3wtjzYcecUiQs/npo7GkihC+CFmaTLjLI1jgo6HWSyh5Ww02yKOIpo7XSTRxMipyKqCNPxR73Q6GIZBtVrlwovn8OstKjedorpQI/ADWsPuULvVJvD6mZR/CGJkVUVXVRJDJ0lSersN6lttYpFgudZwdJZlpw06Hvn5KdLsITfInKFMSiKBpuvcdd89aIbO859+hkGsItbr2IZKNBhkfkTTxl+hmBh/jSqOBH6vTyHvHBk1KZqGJCvoto1qW9QHCVJjl6X5RUQsiON4CESYkWSfhapa5QK9vkdvNRM5mIZJoVDA1E3e9I/ejOoYeAMvU+01WwS2SbPTo7nWoLYoZYaKQzKxJGUj5CiMcIqzg16DQYRzJYJztYDl5jJAmrNoDAL87T0KtorXHVCclu8lYpIoQbcNJHWa6WIMUzhJkHVL/EFAsVZEM7KO0MXNDqacMD/vEoViSI6ePs5rN7rkyy6ark1024UQU0NXM6sVGSFi5k7U0AyN9d0ukmiztOhimJk/U6bem37ebqdPLn/Ad5IuA0BxnE68VpYzwrksS2yu7k+s+0pKCMGTTz7Jk08+yQc+8AGq1Spf9EVfxNvf/na+//u/nyiKeOKJJ3j88cd54oknaLfbr/gcaZr+/R2B/X+9rsXQcOROfJxumadOneK9730vsizz0EMP0e8fn635cY/AMvLd1QGMf/bP/hnf8i3fwq/+6q/yu7/7uzP/3o3WAVIsB+fkzciqRpKmGJbNG+57E16vx1N/+wKeJ6P6HkkoMNyMzJy5N0cE7TZWZVLBlcQxW6uXKFfnuevm24mTJNv0W2263Q5JFKFaLqpbot0IIWrhVF1UM/vsBq02Vnm6MsxUFc7cfz+DKGL9wtGntiSKABnDLWQ/sJGD1x2Q7NQxXY2g2yNXq01u7ENDQM3JT+UjxVGECELM8qiroWejMcMg9Po0tzeQZQndGZDGCafOnGZ+cYEXXniB/c1t/J5Ph4T1rU1c16VQLHDm7BlCb0Azt00vjRlE4dgoMLuo7H6dxQUUXcePIjqXmuQcjVzJyTo8sjwj3iIbfzm16cRpCXj9/W9EkmVefOkl0FTMgoMwDfqdLu1Gj1TLgl81PeMjwTDeotPLcs6mASsh0AxjNjjyBhSWqqi6ThTkaAYSg/0OntciiQSmY82M8ghDgXPZBukHPt6mR2enienmqC0vUCwWOXnyFGfP3ky322Xj0hqRLwgNg0uX6hRdA7eQQ1QFaZzSa/YozE0aJ2bnjTFyM0I5I4HX8iguZQTnjLxsoZsGmmXQ2mvh9SOcVh/IwNcIWEShQEoyEnDCUf5JMszMc0rODA6PIAwiCsMxnGZk/x35ERe32wStNtWKm4GsIdn48GsDP6I0cho/BICSJCH0Q/IzXLRFJAgHEaWaOezOZDYBWw0P0W+TMxUMU5vBhRJ4PR+3fCDEkSWZJE0O3K6Ls0Z2gvPPbUz8+aut/f19nnnmGd7whjfw0EMPceutt3LvvffyxV/8xXznd34nFy5cGHOHXnjhhauiZsRx/A+3A3Sj17UAoNHY57jMoj73cz+Xd77znfze7/0eX/ZlX3asBlTwdxOIKssy3/AN38Dnfd7nHUmnv9J6NxIAKt1+T8b3kWR0XaPgFtje2Wbt0kVEGGJVl5A0DREL/O0mqpZglV3SMMpIz9qULo2I2NnepuMLNuutIWG4wKmbTiGTUt9Yo1Us0RcJoR9kQKXnE+/uo5sSyTDh+vJycznO1Gpc2qvT7PWOHMu6HiG6W0RWMw6PrKoohkFs2vidNoNmiGJ2s81K15GHG0EiIgaNNlalOturyHUnx0lqlgwvKSZGuULfS1mZW0RPFZ74608ShCGDVhdjSPSO45hms0mz2SRNU5Q4xdEtFm46iVss4Hn9TFXWatNuNAm6A3ILLpplkhoGyvCJf3utDoFHYa5EEifIyqRyTJLlqZ0uTdO5dekUjaDP3vbmWE4/NlVUNeyFeeKcxfZWG1NNKVazbkMcCYQfocyIt+h3R92s6V0cWc1CUGVVwVAt7FKBQEQ06nW663tUFkqYOWtokqiO3/9ExJjudF+aOBIMen2sYp52u0O73QFWMU2TfN7BsR3e/I8/G9U2aO7V2d/dY21tA9fpoKopwcCfeb397tA4ccZ5ZVWZuCZZyTo3cZJQOjlPqKpcXK1Tyhu4xRy6qSGiCEnNrBGSywi4IoqzWI350tTRWRxluW0jACoNZfmanrlqb7b61PsxvYv7LC1mgaO6mRHqRRRj5syxCutw5McoRLa8MBkxMjp+WO02Oqdu6ngdg40Lm2iKjGHpmaJsqFYbvVbTNbRD75Usy9m/2Shzji6UZ/sovfT06sSfH0eN9rU4jnn22Wd59tln+bVf+zUKhQL33HMP9957L4899hiqqo67Q48//jj1en3qemmavgaAbtSq1Wqv+DVCCKIoetU8IEVR+Lqv+zo+//M/n/e///0899xzfNmXfRm6rh8rCPpMB6Lm83kefPBBisUiDz30EDs7Oy+7nhDixpHqywqF216PrOrU5msUCgU6nQ4b6xskUUQc+Kj5IopuZvJqzSARIZ3dFnFvj9zcHIkYmv8pBzLsJIrQLGfYVUrGlvasrqIBjpRQXb6Jcq1Gvz+g1W7RatRp1XW8vW1SESMZbawkIxzLmsby8hKuafLpZ57Dl+QJMBKPOlLVhSNdjwwIaCDLmHPLxLJOc72NbqbYlTyKnrlOw/Q4iMyrqI1drU6XoUchZqlErlTi5rNniIKATz3xHIPGLrqR8XSMoQLzSDisELS39/EKLq2XAjRVo1AsUCgUma/N02k0aRfnGEjgDfrExKhGpqRLk5TOuk+zGTLo71OsuZlybMjtCfsDzCncILfgslCpsf7CeZpJMI7LOHxNfreHVS6h5Sw0yyQOQnb2uiixIGdlXSHp8EaVMZmzcZHnYxamkNrjmHCQkbkPd9hUVUW3LXTbQrZzBJrN6mqdYl4nX3TQDI00hV6zi1kqzDRz1C1z4rPzfZ9uu8P+6g6l5Rpzi/MUCgXuuPt13H7nHfTabZobu4hEIRyEYyAx2vyFiBl4AXZpUlY/Iu1O83yC4YhLJFiOndkDDAm9qxtNbE1CSlOisyGyInFZA4g4EiRxMpOTNPB8cm5u6nEkCd02KC+UAYnt9oB4M3OX1jWVbquHM+zeXd4BGrk/z5TVez5OYfK8qqaimxq6laXQ1wcJwdY+C/OZo7WiKdnIrnz0tSMVmIhiQj+cmTofBREXnlubvNdjqFnczna7zcc//nE+/vGPI0kSZ86c4Y1vfCOf//mfz7d/+7ezvr4+lto/88wzR4x6XwNAN2hdCwcIXr0UvlAo8NBDD+E4Dg8++CDb29vjjsVx25B/JgNRT506xWOPPcaFCxf4oR/6oau+jyiKjj3B/VrXK5y5A912uensGYrFIo16gzhJSJMYEfioThF5KIuXJGkoS9fHaip/oBD09rBKOTTLRNZ00jTBb7fRC5WpCi6v16ETCuohrG5uUigUKBSL3HbHnQw6bTobZep+hNfzaG3tYxpwy913kTMMnnn8CSJJQbtszj4CXYppTZe3i4iw72FX51EMk8QwSaKQ1nYHOW2iaimqdZT8PKrMq0iZsa7Ab7YpLi1z5113MRj0ubi+jmxaGJUFBq0mUT+kt9/GgXHAqyRLWaJ8IMZALhKZFHx/fz9zqh6ElBaWOHnyBKZh0O31aLdaNFstwp6HWSpiFgukcUK97iGFbYrz2Wbda3YpLNtHnuQr1SonVpZ55omnaPRamO6kL1gcRcRxOu6MqXoGeFRTJ+wN2FzfQldkTDdHYuqoup6Rmck2bmMKEGF4bNDxKCxNEmTjJCYRgvx8FTOfI87nCMKI1noLx5SxLI1+b4A9N+lyn4Wq9rEKs7tOkiwjKTKtVotWqwVkuYiL8wvkSyVuf/Ob0RSFQbNOmgaEfoSqK4jwqHHikXXDjJNUmNItGSvH3FzmfzQ0p9QMHd3S6Xc8di9s0PdivLZHIiXoh80pRYxdnOXCLPA6fSx3CsF5aHvgFB0My0RW5ExJlbeo9328vV2IApZNK+saHuoAjUwxZ3GhhIjptfvMTTvv0BbBKeVxhmGvUc6iMwjYOl+nkFfptDxWTtWOSOdHJGghZvsoxSJm7fw2gX+88Rejupr9J01Tzp07x7lz5/jQhz5ELpcbGzG+5z3vIZfL8dRTT/GpT32KT37yk69xgG7UuhYjRHh1SrBbbrmFRx55hGeeeYYf+IEfGKNtIUT2xT9msHK9AlEvX/OzPuuz+M7v/E5+53d+h9/4jd94RQTxG2kENveGf8Rtd96Jblo8+8yzVOeqaEN+T9RtY1bmJ7sesSCNIqy5RRTDJo0FfhDgNRqYeR1ZlUhCMVXdNeINmcUqkqIgREy93qBeb0CaoCUJruty+tazWJZNu1FHShMUEfBX/7+PI4I++cWlo0mrjJRhXTRn0lNonEVm2Jnz85DDI2saim4Q9jq0trbQ7eyaNVNH0bXxeOJKXkVxFFEslrjz9a+n1Wqyvr6eXdrQ+TkJIuz5RVA1GpttVCXErWX+RJEfYBZncI7CkOZunUBW2e+0MQyD4rg7VKNfatD0PAJSut0uqmkQh3la3T7B3h6qnm3+sRAoqsri0iILC4s8+/Sn2Th3CWeKWeOYOF3IT6ilFE1DMQSqbmBWSzQ8QbLTplh1MC0TSZEZdHrojnMk32vYHCKOxNDMcpJcGwcR/WaXXK2MrGbu0ZkPkk4UhGxs7CDHAuGPujT6+Noz0rWPVZgM2U3ihHAQYpcmuzSDwYBuu4PX6NISfQrFInY+j2stkFMU+oMGoruDWypMH8uImBRpZven1+qRK+WPdKwkOXOz1oxsnBpaJmt7PZK+x/xCZqqIJA1JyoWpnKR4mHM2HSyIzE38EJ9JURUsx0K3dNI0ZX+rwdpmk3kR0231CP1wfD/tRpfClMBcGDpHa7Pdn7utHk7pYISlqAq6qWPYBu1Gl3ozwM73kBV5HDAryzJhmNkwOFdwrL5e4y/gmmTwnufx53/+5/z5n/85kD0I33vvvbzlLW+hWCy+1gG6UetaP5hr9QJ661vfyjve8Q5+7dd+jf/9v//3xPHrIbG/Xh2gEWCRJImv/Mqv5F/8i3/BT/zET/CXf/mXr3i9G2UEtnLXvdxyx12E/oBz586TDrORpBRiEaLazkx+T+T1MKt5ZFUDVUPWDBTDJAoGDNbX0AwVIwyJYRg3kf2oJlE4HElNy56K6O5u4fk19rp9Cq7LmTNnM7O6KOL0rffSqdcZDDr4SQfV1FG0zFgxiSLiKMKY0aUJ2i30fPEI2JAkaZher2OUqqg5B68bEe/u45RtjJxJmiSzvYriGNeyOHHnzezs7bG3d1SlEkcZR0qzc0NzSJ0kDGnu9kj8PUhC3MUaXGZDmCaZ0krPH4S8BkHAzs4uOzu7xEGI7kfM3XyGpYUFFFXN8spaLfZ3dwm6fYSksr/RJl8OufXOWym6RZ577lna9UbGw5lBnB40u9i18pRRX0oSCaxyAbPgZiMv26bnhzT297ENhaDrUc47lz0MSKSxIPT8ifHX8DAiijIwceizkyRpmJ8Gsm6g5QrstQLk3S6VmotmZuO+OBJDg83pcv1+q4s7I8A0ETEYCiQSXa9H1+uxubeDJqtoMRSUHMsrcxiOngH8vkev1yNOYqIgJFeabpyYeSjNGOnEGcG5OF+mvFDFqRbpezobdQ8paFFyTXqdPm61OLluHOMP/AxozOgOCRFPPa+EBClUV+bRTJV+KGh3U3a3mxiWQiwSokBMBThJkhAOgszPaArgE5HAH4QUL1PKZWDHQDcCysvzCMvg/KU2BUehUnGIyoI08em0+8y7k55dmUVBzEufvjRxzuOq/z97fx40S37W94KfXH65V9b2bmc/vZzuFkIyQpYRY18j45g7YMN4JlBwZcI4gAs28jpgCWEQnj9wcLGNDXY4WCIcGI+xseca2wwxYQz3eoALvoDVEtpa6u3s7/7WXrn+lpw/st465/R5j5Ca0wJdeCKk7q58c6mqrMwnv893eRxJ8Ldu3eLWrVv8x//4HwH4ru/6rsdwZG9s/YFsgF7vTfdzHYG5rsu3fdu38WVf9mX83b/7dx/KLTutxy1ZP93mG8UBCoKA7/iO7+Dy5ct84AMf4M6d1zeXllI+Vpj09SBAb3nLW3jz/+1/5PrBhL27HyPopbhBgJY1BqhnY7zeJpbzGjTFmFainqQPNDGtV05AozWWE2BFG2SjEstMiYYptteSrOvlAq/TfwgdOh1h2a6PLQRpmvLUU09xdHzM7t1dGlnj65ruziXODd4MWlLNjpiXU/KioFpmiE6b7fXaMlK2kP+ZzVzrKSTSASKKabRGBzFVXbE4GSEcibOKAHgth2dzMOB82uPl3V2y6jXZaVqjihw/bZGj+wNeHd+nnDnkx8dM92akBrw4wPVaV2ijJMVkTjAcPpzQbhpUVVLWmnp/n/2jI8IwpNfrMtzYYHtjSLGxw6iqybKcYb+LUzv8t1/533F8m2KR4T8KdZKKxrYeOerLJ/MHgmdtN8TxfZzAI5/MKHKDGC+A1ehs1ZSoWlEsM7ppjG3ZD+SnNbo1CwzPQGna/WoaGqJeimXbqLrmZF5gDqb0+zFVVhK9Bmm5//3gnM3r0lKhS9USsuv7YyhcDDCezbl5MqEzGdELAi5f2mZ7e5srl68wnU65ld1Eus3ZxolK48ePsAlQiuUso3e+dXC2hUuw4gnVZc3+0Zgqq+llJVitB8+p/5CWbejqxoWHYzVO9/uoIFglFct5Tv/8kCAOacIGOwkoHJ+9W8e4usb3BcY8fJ6rWjF/TU7ag9vWBGHwCBft9v2mmz3COCQIA2QluX5nRhguEU7TZqG5Z6BdSnNyMGY6en2pAJ9NPU5182n94Qjs93G9nkiHzwWpGQ6HfNd3fRe2bfO+972Pk5NHeze8EQ1QXddEUfTYt7m5ucnf+3t/j8lkwvvf/36Wr1Egfa7b+70cgf2ZP/Nn+O/+L1/Lv/3EhFkmcdNz1FVFMTmmjGOML9qs8bOaCVUj5xO8/jaW/VopucbIGr+/hRunbZipqikWOaY8RoQOMl8i4u4ZPjuKajFDJF22ts9x5coVbt2+xcnJyUqFVZFlOZl1zMF4ShSExFFAp/cE5x1JFh4ybww1NrXW6+0brVFl0SrDHsENMtqsGyfLcXAdh8bzwHLID/eg0BgzId5o/Y5c3+fKlSu4TcNvf/JTGD840yCyXmTE2w8jR+1cyCLavoDrC6pSsjweE/V8gm6EriXGNGcTspWkXDdH7T6LoqAoCvb29jFlSeiGbD9xlSeuXaMxhuODQ7z0PIc3X0UuxgwDH13LNRfp9HOSeUH4GUwVG8NDqjJ71WBobYjP7aA9weHelEBAd6M1iVS1xA1aafz9zU8SJwjXJRsvHhhr3TufWi5NkLYI2um+hO+jkojxbE5+MGbTaRsu1xfrYze6VRd+JgftxjStd9RrcpO10qhKkm4N8aKQpZR87MYd6uc/yflzA7ppwsZwi+0nz2FomM5mzKZT8jxv7QdmGdEZZGFomwlsG7Ein5+iZY5w8WgDUjvnt5lJi5ObJ2wMY6IkRPhiHWB6dmOlWUxWY6hHNIOWfa8ZdByHMIkIOxG6GXJ8+4j5vEbvjdncat2lT3lJaqXIPFOBpzT5siDuRo8cYZ2iUpZtPWCqqPyIw90RWSap8pqmaVoX7ftI6C9/4o1Df6AdgZ3ywh5X/eEI7Pdxua67djf+bOuzHYG9+c1v5v3vfz8f+tCH+Imf+IkzTQDvrzciZ6yqqtfleP2ZKggC3vOe9/Cf//N/5l/8i3/xu4rqgN87I0TXdfnLf/kvc+3aNX70P/0Gsn8JW/irEVaA7YUUhYMnC3RRYeoSGoPt3jMobJTEFuHZSIuS1Ispfn8Hy3Za4rAraISP9kKKyRG6BGfWxhfYQqw5OUZKGqW5fPUJdi5c5OWXX2K+yoNrlKKezxBJv91vA3lRkBcFh2ZEUyyJHJvN7W2eOD+gbBTLsiArCmaTMdVyQbSxfeYISxcl/hnNkWXbYFtYXoDfH9IA08M5wlnylne8FauWfPzDH8aKU7wzZPNGKUScPJqQnS3bvLEgpPENTuAja0V28xh0TjToYUyDfUYwqjHNI7PTFsdj7K0d0rTLZDLm6KgNGb1y7WnO7WyzPB6RlTnL4xPc2G7HiJ63JiknO9EjuEF1q3g6UyWnMLXGG0Q4K+6OqiVHxwtsWSAsQ9DvPrDdbtrlqaef4uUXXmQynZCe37pntnqqKluhTtGw/wASZrsOwgnwpKTq9cntkMXtE9I0IOnGuJ7AaEM+zUgfRVJWCtv3HuFCriiXGd1OvA4mbbk7PidlxauvfBpP2FwaXWBja5ONrU2eeeYZAA5292lyDcHZBoaylMS9Dq54sAGCtlnQSpOmCe7KzXpR1RzfHtFNPNCaMA7PfNjRK2+gM7+flWItGXTW696PXNlOe64PLm5j2RZ3DhcIrdje6SI8QV1WdPqdR8Z55POCpHv2CEtLTdiJHkCHLKtthMK4dYUONobsjSqoW1PFU/dnVStefgP5P/B4RmCvrT9sgH4flxDic26APptG5Wu+5mv4C3/hL/CTP/mT/OIv/uJntd03alz1OFGlr/3ar+Wpp57i137t1/jn//yfP5ZtKqU+7whQp9PhAx/4AEIIvv/v/yOSL/8fcO5rYk5HWJYQCM/HibYoJwXoMX6vhxP40DRUswleOnyoAWoag5E1ThBjvWbUZDkulu1gNHiDixjbZX4wwRWKaNAHy8ZUOc++9UvpbW7xqU996gFY2qgaozXWWZ+Z1pTzGSodkJ3MuHk4IvZcNnshWzt9BlFE1d+gdFwWywwp7537RkrKxZxw89yZzs+6LPC7PUTYKl/CpMOVSxfJFxmffv7XaUxJ4oUYpR5oSIxSlNMpQbd/pqeQkQo3iO6hTraN6wc4XhsLMb97F3Ui8bITOlvpynSxlYOrsiLo987M/jJKkYQJz735zYzH47W7+mKxwCiFnM0Znr/A8MoTXBTPoIqCYnpEbpbMljmW65ydKSYVxXRJsn2WDUBrIHlqkHk/wdz1Par5kvHuPn45xXIdvMBn+9wOV598gldffpm7N27hdxJo2uiUpmm3aQHlMqfMCrxOglPLdbQGrGT1eUmy2ceLQ1Qnoqwls90JSejgrVCpRynDsvEc54qAMwi/RqnWD+mBoFcbEfiA1T4wpB3u7E442hsz3D5o4yn6PVzL4fITVxle2KJe5ZXNZrM1OrSYLkh3hjir/Z42QKecJL/Tjs5sx8aLAtzAQwQ++SJnfOcuvY0UEXp4vtcqzNZxHrr1T3pE6Opi2kaMnDaDa+TPmJZvFgYEcavg8wIPWUn2xjlqcYJtFJsXNl5LVQPa8Zfru2dzoVQbqxF24zNRKbP6fjr9DrZjU5c1B7MCtTtjazMimxfs3Tx6eKePsd6IEdjjnkC8EfUHtgHyPI8sy37nP7yvPtMIzPM8/spf+Su85S1veSj083ez3ddbj6up8jyP9773vbz1rW/lox/9KLduPT4o9nGPwH4nBOjSpUt87/d+L6+++io/8iM/QvLF78JaGR/eX0ZLqDQm3UEkfRqjaFSbyVWOD3F8C13VkPIQT6BRkmo+xku3sF/LG2oMjapxoxQRdcB21n5Ci5MFosl483NPIRvNCy98EnN/0rzWyCJHpINH8Hta6LwlQ7eE7FwrbhzOeenGPqIcs3XpAttPPsGlixeptV7FJEyYLhe4K6+i15aWknqxWDdHURRx7ZlrzKZTbuweYLyERkXMDxeEZY3fiddJ90ZKGtM8kktTzWZ43d6ZKI5lWXjdAV7aBWOYj3Koj0i2Wnl7MZnSOXfuTJQmDgIuP/NFHI9GHJ88TMjO5wvseMaiLLEsizgMicOUrjNgMxiy6C8xoUNRVajG3LeuwnLsh0ZJp5El2cmMoNeHxqClhqZZNTKGxhjcOMFJIkZHBds9F2/D5kO/8l/J5nPqowmDfo+kkliVItQNIRauMtSLHCE1aXbCJAl48coAL45g1UTWeYnf766bE9dr0ae6rBjd2Ue4NmlRQ9O0qj77Xh6ckgYRCGqtHvyclKZcZZmd1TwZrbCFIOx1sGwbXUsOTpbYdUW+yMlmCzrDHv3FSWvv0O2ys7ODMYa927s0JeC79xDV0yBYpcmny4eiS2zbxgv9Vv3V6UCny939OYHdsLEaVVmWRTZftllnjxhDNQ0PNEenXCylFEVWEHXj9fu9P+x1KRyObx1Q3R1jNRAkAZ7v4bhOGwVSlC069ChydF7S2eg+tKwxLWfJDVxc6a7NI73AQyYRR9MFrzz/O4ef/m7rcYeh+r5/ZrP3+63+wDZAr6fheNQIbHt7m+/+7u8mz3P+1t/6W5/zLPU0EPVx1u/k2vzZ1GAw4Lu/+7sxxvC+972Pb/iGb/h9odp6VH0mBOjtb3873/md38nP//zP82/+zb/B9iM6V9+y9va5vxpZg23hem32m+UIcFqFl+W6VOMDMIpyMiHoNVjuqulYjbBs2zvzpt9I2SJH3a01qfrUTyjudDnX73A0OWH347+N343w4ghbeFiOi5E1KssIhukZDZtClm1zdP8ow3JcHMfFaEU2d9g9qblz90NEsWDz8nkGm5s8ceUyDIccLwtK3TCfz9Cr0WY76lup4FxBt9vlqaeeYm9vj4ODg5YIXtUEg62VlF9S7I3xfAi6MaooHpmPZqTEKP0A+rb+nFaEbC/uIoIQAMfzMTJmMSuQ40Ncv0VcbPmgpHzQ7XKhN+SV3V2y14StnjYq9ztZG2NYLJcslkvqLEOOxvTPn2fHilsitanI64rFcsF0PMPxPFRVtwG3q+YGy8Isc9xFTtfzieoKV2psqUhsG0dK6umM2A8YNA0+DsXhDPtTN7lU1dSyBgs2FxrXtji2HIbKIvE8aq1Z5gWBHxDbLiezgk8p3cZ42Far/kqi9SgJWlTD9Vu5N67AGXQ5nuTYsmKw1UWsXK5VLQlWYaB19nAwbbnMCc4a6RiDqlvzQ9drlY0t98hD1TWHJ1OKkxkiCFhM55RFycnJCRZtA21ruPz0VTYv7KxRhyiMyIsWHaqLmvgMh22zMttMtwaE3QTTiZF1ze7xEldJuqnPYrIkPsOwsTGti3ncezBW49RzSEtFPs8ZnKHCal2uBb3zm4RJwERqyhvHbAxikk4ENCwmK1L2I8jRXhQ8wkZA0dQNjnCwzb3f9WkOmVKKvVtvLPoDj38E9oWA/sAf4Abo9TDUy7J8yEPobW97G9/5nd/JL//yL/NTP/VT6NfYuT+qTn1BAMbj8WMNWIXf/Qjs2Wef5QMf+ADPP/88P/ETP4FS6rE0VffX56sB+nN/7s/xnve8h3/6T/8pv/7rvw5Aeu2PYvvBmd4+qswwnW2EHz6w7JTPYzkCv7cDlk05mgMVfq8PtoWcT3A7G23TdP92mwajaizXx3pN09Xr9bh0boe9Vz7J/rTA6V1EKkmxf4If2HidBF2V2GHnzIbNyBpVZATR2c2RqUqC4Q5OGEGUIKXk9kv73H3pBn4k8G2X7WvPcuHiBZ70n2S5WDCdThkdH7OczfC7Q3bOn+PixUvcvHmD8Xiyej+yRY58H9txsT1/jWhND0bo5YjuxW10Va0DXuG+qI7e2YRsrSSqlni9e8ts122RItuhni/Qtsf47pQgWbZP7UJw6fJlIiH48Ic+jPLv3XCapoEGdF2xPDwi6A+RWd4SkZsGYTSu0kRlgaUl6eSY+uSA4xckvpZsBR5PJwG+5eJpRTifQ1lQZDmmNmw4Lsu6wm5suuMJrm2xqGomOOzYNlo3lLUicRs2vYCqMVzPcvrCw/YDRosljTF4tC7iiWlwbYfY89BVhe+4dHyfwHVJS0W3kOSRBgX5dIHfS7Ecez0GOv2nURo39Al7HcBC1zWjRascS9OwlcbvbGC77kPXn7Ws/kyejSYbL0i2H7QJOI320KlCacNcOUxunTAYxMRJG+sxnUw4un1Euj3kcHLC5sYGURTx3JueW93s7yIsj8Y7K0VdkU2WdLZbBZ7t2Li+QKy4VvsHI+SyorssWp8kX6xRCCUV8/GS9DWJ9Kc5XEoqHP8RZo9SkU0XJMMuYSfCaIMX+mSl5OT2iNBuOU3NGcoxrTTZonikY7WSCmjz03hN/2GMQSvN3iuPP//rtfW4jXj/sAH6fV5hGH7Oye5VVbG5ubn+73e/+9183dd9HT/+4z/Or/zKr3xO+798eYu/8f/4v+MJl0uXrrBcnuNtX9pjPJ6zXFY4jk1dScpSUhQVRVExn+doralrTVVJyrKiLGvyvKKqHnyCWy6Xr7uj/8qv/Eq+5Vu+hZ/+6Z/mF37hF9avf75HVr/b7bmuy7d/+7fztre9jQ9+8IO8+uqrqwU+4dYVGqUwdo3l3Es9N7LGFEss59JDFyyjFapY4Hc2cMIYsLCFT6Nq5LKgnh+ADXbUxdYKnHtcjUZJ6vkEN3mQN7S9s8P5c+d48ZMfY7R/hOhuYjstYdoWPlpJ5odHNPmIaHsHo2psvLVTc2MMWlaIuPsI1KlG5jnBRhfbdtZjN9vzUVXO/OgAGknevMTu3buEScJguEmv12OYdtA72+ggIun2eOnll1guWtWfUfIeD8q5dwNtmxQbN4xXgaEW2eiAaJggghYpa5SiGI2INjbaIFOaFa+iwWhNtVhguz66rlehrvc4IrLIsPIFnc0tfDvCriXOnUOevLyNd/cGh9dv8WTo0W8ChAU+bYNTVhK1WBI1Df2ipiMdvMbgGM1JKVuDQm3aVPW6wrYsGstwXBZM5wZ7V+K7Fhv9lH4S00k7LITgUFsEWY6jNX4QkAbtQ4dwHUoNrjJYGOIw5PzGANdxqOZzImPam7RtEzsuTiiwbQdVS1RZcCQ8rByU1jieWBPMhe1wflHxUhrRNAZZS8L7ssJO/9loQ71Ss9nCxcJqnax9HxVHTKdz8kmGG0bk8yXyPvsCrRTVMid8VJaZetiv6N5vRFPlBclGHy8K0XXMsqoZrWI9hGi9dmzXoa5rJtMpW9vbfPS3P0oYBNiy4cpTV9k4t8VisVxxh6YURdnK+S3rAbQLWKFQVvs5ndthUlsc3zheK8e8lXJMN+bhdHfbQtWSKqtIemePzrTSLbF6tcx2bPwoaD2YfJfZ0YS8qnAPp2zS3Msjs62WHL3MiR5FjlYtd0i9ZgQJbaN596W7aPXZPVT/bupRURivt74QCNDwB7gBej1f0OkILAxD/sbf+Bs8+eSTfM/3fA83bnzuM9pbt474+Mdu8Ke+8ks4d76P0Smer1jMc27cOODqlR3iOARaHkGel9y8dcS5nSFpGrXcggaM0eztneB7Lp1OhJSasqyJooTzF3p801/870kSH60NZSWpa0VZ1kymC2jaDJxaKqpaoqXhXX/qK3n6qaf5iR//EV588WV6vYi61kipmE6npOnD8PLrrbIsf9dKsvurrus1ApSm6Zrs/L73vY/JZLL+u8ETbyN0E9ToCOl5OGkP2xFg2egqx0v6K6TlNRcsWWHKAivqrZEWa8W3wXGxigWuI5DjCTo49ePxsITAqJqmsR6I07h85Qq9bo8XPvFxJndv4sZ9LPteM2G5olWQBV2UNpS5RTHbJ+h1EEGALUR7o5uM8QabqxufWkOLjTGoIsMJ2qcxsyY+t+cUpsEYg9fZosogP94jjwSL4yNuWTZNVfDEtefoBRHFbMrFrU3mQcB8PmMyPUFlOU6QYNRKWoxBWA2WrnEWI7pRQuCCG4ZYeYE9PiIMbSw0DYp+1dAXIa7VIGhwMShZMV6O6Xg+F5wOHgZBg7AMllLcLBf4vuaSK/FcF3xwBz5FfsiLLx/QK0p2BikbTkDkuQjHoXEaTnTJoZFsxQFbscCxLSzLxQI81+ZG7pLKmkEnWjcU0JJ+iwr85aJtrmXD+GTK0nfb7ycKQQj6YYQvXOym5ZN4jkOkavJaIYDeoI9j2yyXS1zLIm4Mc8tCyZbU3A0CXNum1i510zCSGitbYFsNnThCG4PtOAjH4fyi5lNS0WDw0+QRZoCScp6RJvd5DjUtSmPZFtLzCLfPUXs+2Uwyn04pZY7reWitqLKCoPewdUFjzMqv6BHNglTUeUXUb52U7TDA9VsCc1nVHNzZw3ec1s0asMKoRasaw2Q0ZnT3mP58xv7JEd1ul16vy4ULF6jKit1btwmCCH0GtURL3SbHb/Ra5VgcsahqTm6P6HY8HBqCKHioobMtm7KsyOYZveQRvkKrOI/Xfs623fLBlDR0L27RuC639hf4jW6VY76gruqWk3WmQaVmOVkinhVU5cOCHCUVNz75xvN/4PEjQH/YAP0+r9fzBZVlSbfb5e///b/PyckJ73vf+1gsXr851b/7n3+Vt//Ra2it8IMAIVy6vZhLlzfJi4puN8Zb+WREkY8QLoeHUzY2uoThvfGWEIIb13fZ2Rmsm6YoitnYGPLU0+fZ2erS7UawcjiWSnN4NMWmYWOQtj9kx+bK1SeYzzP+2299hG98zx/F9/9PLZETqGtJVQu2t1Le+bb/EaU0stbUUjGb58wXOUnko41pl0lDLSUnx3N838G2LJQ2SNXCumUtGQ76bHQl/907n0Yqg9IGow1F0aICTQPKaIxu0NoglUZp3Y4zdHvzNk2D1u17KvI5cdzh6pVL/NW/9td45ZXr/ORP/uQDNgSW69M5/xyW7eH5LrouUAd7VE2N5QeobE4wPEc+H9NUA564eI75bM5sOiGbHuO4HrouWyfn+6HuKqcpC6xOiBBBq6za28dQ4yYd6myBG3XRdYllJJevXsVWFR/70G9QzMeofIntR1C0CijbAhtAFjA/IUn7uJ4P2sGqJHpyhO1ZuL4gcBWxUyIsjWM3NErhYLAsQ63GhGmXMJxjs0pzd8FzbCoy7IsOSUdhG8Uig5Aat1mAkQy3ekTqZdStj5IXip3UJ41DvK5F7Vfo8z6YE7KsYiu0EY6NBczziiqoMNaSBpet2Me2oZI2y6JmMZ+TW4aokVygJPEFrmPTNDAxFePYwhYOlz2FJxxsywYcSmlRZDZ5GNGPQwJPEMcxxhiWWca0E3LX8YhcF5ShQtF4EAoXT9hUK8TFe81N0LEtKqVRlv2QlN9zHNAFGMNGHOG5DqVUlEqjy5zJaMJ+rTnf63Fl2MPzAxzHbkfGswV3FJz3A4Rlky0zTiVEwnbImgaTVXTCCLHar++6DKOIrJbUlcZpoK4UM7vAcwW+47BRSOyiZJblRJvDM80PW4Wd/9B4q2lalK1c5ETDISIMoNMhny84ODjAQxPGPpbjPCKC4nQMNXx4fNw0GKnxkvARyjHA9XB6KYcnGa6Z4bmCfJ6htUYrjReHOMKhqiqOjo44OjrCtm0Cz8euGq48+QT9jQGLxWLtO1RVVTuyC/2VcszBixzcwMMLffJlzuTWHmkaESQhYuWVZFkWtm0jyxp7xbl56P0qzXK2JO6dndCulaKBVnnmCcRKOXZ3lNHkY0IBwRm5YdA2OHUl8QIPkz94HznNM7vzqTdW/n5aj5sE3e0+TPj+/Vh/YBugNE0/Z97NpUuXeOaZZ/gP/+E/8K//9b/+XaMXy2XJf/wP/5Vr155kZzUzdRyHJAk5Pjqkm8aIleTVsizCsFUdZFmJ54m1hDSKfDa3+sznBWHYNkqu47Cx0eXylW0O90ekaUQYtuhDSIttXL++z9ZGj+3tAU8/fY0sy9jdvU0Y+XieoJtGazMuYxocN8C2XJphincf7L7ISq7f2OfqpU06SbB+2qxryf7hjMCz6Pfidva+aqjmi4LFoubZqzbf/k3vWvOhqlqyvz+lm/p0O+2RnprGLbOSvb0Jly/08P1T/xDQ2rC3P+XJqxtcOL/FX/2Gv8zx8R5Da8Zb/5//V27cOubSuR5aGQhSom5KGHpM5wWyconDAWVVM57MaIyPH5WM8lvs2PtsXx3i+x55aTCyT1EpJsuKQWTjrZ7qpFIs5hl56RKInI1ejG05SNWhriWj0YyDkxkbvZoL5w3DQR/XfZUyz1n4OS/dnXHpzT7ntkps+95FaJGV3Nqbs3Gtod8rCPwWJlfasD+ymM9yfKsdSw767fG4tsXxUpLYGmhodqAT1/heiwDenWs2/QbPdSiyAhH4dGNJUUluzSzOBw2BlzDPFVJWiHqJsuDYsdlxDENhsSxqRF3R6XZw3Jhxd4NzbkUgXIqqwjQNncjHdRx2c4vQa4iD9tybegWBDYVuOCoayrxCODZg4dgWwrLoxiELO6DBrBsDgFoZPOGS2x6qaR9ilFIURU4pFaFt0YliksDCcx0qqSgySenUTMsaq2leC+q15zYQqhJLhLyWw+raFoGqKF0P17ZwbZvE9wiFoRIu40oxKiuSxZID28IXLpHn4a/+JxwPWUo8x0Y37iotu0E4NqYqqZV6qCETjkPHlIwdm9QLiIRAak2WV1SuRdUYesdzTtyzTSK1UpSL7JEKLl3JFRrk0Ek79IYDjicjku1N6izn8O4BrmMR9kuMNq0z99qFecVZOdOcUpPPFgTdztnKMaURvtfmvtkWqpJMFor5OGdxPKOYZ8TD3kO8I2MM45MR04Mxo2JBcthp0aFul0sXL5JnOXvXb7HoJCiLNQJq2zZ20CrH7CCEtMfuwQIPw8Z2ivAEOlbIUj4yVkNLhXxEQntjGmSlVlEg90JzT5Vj+dxj7+Y+4VJiOTZhFLTN12pbWmqCKMAPggfS6E+/w/3r+1TF4/XmeVQ9bhL045wUvJH1WTdAV69e5ad+6qd417ve9QYezuevPpcvyLZt/vyf//N89Vd/NaPRiJ/+6Z9+bMfxv/4vH+EbvuHP0OvdO54w9Llwccje/gjPE0RR+/Tk+x5bmym3bh0RBB5J0pJ0XdchTWOuX9+l0wnpdl20MTiOQ7RqmoqitXg/JQBGkc/OzgDb8Xjiiac5Pj5mf38fT7hsbva4c+eAwL+3b9u2iCKfooCqkoTBPTJumoRcODekLGu66T2DMn/lpHzz5gGDfkIU3ltHuA6OXeG6LlHorxutDgGu47C3P2ZzmBIG9+b9YeCt30cvfRCuFsKhN9jgwvkNDvZ3qcs5g16IlB51rfCFjRsFxFvnGPQ62LZDErrcPa7Y2RAYE7DRsbEcD9u26Y2mlLLGURm2U+NriRcKLmylTDKbQWhIkwApJePJgtILUI3NJLfZ7rrEK4Sulop+YNFLXBzH5/JmijY1dSnphAK0x07Po5dGDHvxAynRjmOxNy5IEo/zW70H3m/oe3xSCwZuSdpJWhsXo7AcQRpYjDObDU+TpDH9tG2uk9DHdnKyEkATRT7dTownXALfRTYlbmPT6yYIe0le23gipChqgnzJbNmeB1IahOsgbAujFfVyxNS12O6nWLbLoJvSWOAA07qgkprIb63+ldKEYcgwEDTTCiMrlAJVl+RKY5SmE4cYq6FWek0qrZVGK0UYBHiug+u3T6ynF+1StmOnLdGgGpuuEIRCUCnFrKjRZYGQkpPKJ3ArEt/DOQ0S1Q2Ra1MKj1ob/Ptu3rU22KahEgJlGk7PYMe2CYVFx/cIwjYMtK4MdVlQ+pIo0DjCQ83nFI2FnSb4kYdlWSilcKqacL6kcFzc16qOVgqJRdMwtG0S38c0DZUSVFpRZznenROsJzcx+lQRdg+NOZXGB/2HncaNNq2HUrdLbzDg2jPPsLu7y2KxaD2LgtYDyx8OmS4M+uCE3jDGX42P6rIkGjzaVVqVNc5ZCi5tkFUbeuuunLcdIQijmNLzGGeK7HiGvRoXifsIyWalOov6KbZwKMuSsiw5PDzEtm1810NIeOKpJ+n0eizm8xYdms2oihJjNPFmn7CX0pgEVUkOVpljjnFwEnv9kHl/nXJ0guQzxHlMFiSbDxKroR01up4g7CYkwx6z2nB0dMKwHxN3AmzbJptnRJ0Y3/fWysvTUlJx8/M0/nIcB9d1H9sIzHGcL4gYDPgDjAD1+/3P6u+SJOE7v/M72dra4sd+7Md4z3ve89iP5Rd/8eM89dR5jDHYtr1Ce3z8QJBlJb5/D+0JQ5/BIGU2y/B9gVj9MKPI5/z5TY6PZwSBwPf89uLge2xt9bl1+wDfF8RxK+N3XJdrzzyJbcd88pMvAPeIdlHo00kSsrx6YN++5+J5gk9/ek4YeGsUxnFskiTk+qsHdDohaeeeeioMPfr9DnleEQQCZ3Wh8DyXbmpTSYeykg80R2HQkgjLUhL494jEvueyOUw5OJwSBoJgtX/bsnjTc9eotcfh4ZjxeLxex/NchoOIF18+5ImnrhKH4ZooncQBvUKT5zW2DX4YMui1ZEXXtXnlzhJZVJRZjlSaTq9DYjRek3MwBl/YeJ5HEsWEQYBwHczxEqUktt1eUOtM4Xs2Vy5sUVoptZyCMTRKsyhKFqXE9xwWykUqvX5P0KJu/QC0ZbcInHPvAm1Z4FkSVwi2BgnaNJSVpKwVSM3xKINAk0RR65hsW9i2RSBcbk9q+hR0u501kufYNt3YZ94kHI2PsZQi7UR4wiX2PZRp2J0pmnEGjcKPIqJAEXguHRdOCoNnzckrCZbFZi8lCHwuYDMrLSxHIVWNUYogDAmEy0akmJURsW9RKYeqyGi0odEGowoOcYl8TSBcSqkwWtPtJriez96ipqlLfNdBarMik3qktsVR7ZDqdr3IE9RKo0IP2/M4qiwilSETjee6OJaFVpLA85GijQ+5vwGqlEI4DpFrI7UG7n0/ldY4TcNm6NJxfSLhUutWFu86PnujE/JlRhOnzBcLhOO0NxvRGg8OOyknjkBg4WCtFKStkqgBHGGvASvbsgiFIHDbh5utScGHJgqtR6TnUoTn4fitJF1L1foxnZkppihmGeevXePaM89y69ZNRqMRcGoTIAl6PYJuBwsLFUUsq5rJnRFh4FDPl3Qv7TyEpJ26fnuP2K+W7X47Ww86UruewE8ivChEDofkrs/8zog08Ul6rRN00xiyyYJka/BQo3GKDmWzJaN6Sdzp0Ot2GfT7XL58mcV0xt6rd8h0jbLaz/Z0VKXqmtFSYjcV2SLHctpojnXjpTTZbEn0GRLalTZno2HaIIuKzkaPcBWM60UBeV0zujshsA3VsiCMo1aMc18D1DTtg8Lnk/8DPLYGyLbtLxgO0Pps+sVf/EXe9KY3EUURf/yP//G1YuarvuqrsCyLW7du8af+1J/Csix+8Ad/8PfsgB9XfTYxEVevXuWHfuiHkFLy/ve/nzt37jx2w0KAO7dPuHVrwWyWIU8zY1yH4aDD3v6ILLt3Ygrh0u1GjEZT8vweZGnbNnEcoLQmzyu01lhYK/M6n36vw2JZoLXGcRyuPf00ly6eZ3f3Oq9cv/uAiszzXAaDDvsHE4oHyHkWSRKhTUNe1A+MEMPQY2env34P6+N1HbrdmP2j+Yrbc6/CQOC6NkVZY+5z/fN9weaww8HRjLJSD61j2xZlKWmaBiEEzz73HL1uwmJ2zCyTVPWD6zi2jet7GDskuA+5EsIljVzujGqKPCf028BF27YZ9GKu7EQrJZeNYzu4RrGYLSnKitGsYDxZcHQyZjIZQdPQSUIubHZQfn8lg7eRShElHc6f28A1S6RUpElAtxNjGhukwm80yyzj8GROUbWfay0VjdbEUUDe+JSvUflpY+h6FpnxkapFZDpxwKAbEUURHQFZ3VDkBZNFzjKvUFrjey6Cmkpp/Pv8UPwgoN/tMJtOmE8XrRPuOi/JZpC22zWNC5aHYyyyZcFkUVBLTW5gUVStN49to7UiyzLqsmBaS6RqTRp7/QH9NG1DdV2XHAdlDMJ16Xgu3STBdjwwMFpUHM4y5kXVjrjihEE3RdcVWd2+B4BKKoxW+K5DIFywWC/TxqC1JvRDzvdSBrFPYwuUtMiWJUezJbOsxBcOHTRyhToBSG1QShEGPkPLUBjrgSf1Smlcy6LrOsxXir/NbsrOYMAyL8hzSaNhIhUnWTumU0pRlSXj2YxsPqdRsh3nxTHdNCWKYrAdnAZSy6KxwNz3O7MsC9d22PR8LiUpbrrBcmZxcmtEPppRzpZkJxNE+DDhF9pG5PzFizz1zDWuv/rquvmBVXM0neOFbaab5diIMCBIE6LtbcpGsMwVi5M51SJHljWNadbrLidz/Dh8xPhLYdnWwxlqtoWqa6plTjToEvW7ROe2qIOY/b0Jx7vH5JMFUioc51HjvpVizXEoi4KDgwNefPFFPvKRj3Dn1m0c2+HpZ57mbW97G08//TSbm5uEcYQIArwoQicBue1z99aI8fGMYpGjaomsJVVePXL8tfYVOqvhU20WmuO2pHPbaY0cw05Cem6LWoTMS83hwYTZZE6RFevPUivN0e0j8nn+0HbfiDq1S/lckxE+U32hNEDuKerwF//iX+R973sf73nPe/j+7/9+PvjBD/IzP/Mz/OzP/ixSSt761rfyoz/6o/yJP/EnCMPwd97y7/MaDoefcfmf/JN/kve+97387M/+LD/7sz9L0zRvSGYXtP41N65nzObX2dzqEoYh/ooYGgQut24dsrPTx18F5BnTMBh0uH37kMuXtwhDf4VaOGxu9rl795gwbI/Ttm2EcOn1Eq5f32PQT3nTm95EXdd8+sUXsa0GKTV5UeF599CWMPQZbnaZLwoCX+C6Dk1jSOKAne0+BwcjgkCsR2GObRMnAQdHE7pptEam2m15DPspWVYSBvcQJdd1SGLBwWGLKL0WBXKF+xAK5HkuW5tdDo+m9PtdvuhNb2K5XHLj5k2iuEMpHcpS4d/3XrQxdHoDjuaK7aKi07nnUeG4Ni4SZZwHmiPHcYgjjztHBVtRw+ZmH9d1qCpJoyrCJuf2fkHiOyRJgOtaZFlOXdcsMk1nhb4Net32ib8xhALuzG2SUK3HTp5I8YTAmSyYznJ8y1BEIVWtsIykm0Q0VUNRtyiZZVnUUqGkJIgCKulR1hLfu4fkCOGw1Qs4LATGstHSkFc5RSnAanB0zawJuARgWURhO7ZcLpcInTOpYfM1T9q+cOm6BVNj2OnFdEKfSrXqQK0q7FJzp6zZiDyS5N4N0HMd/KLgcFIhMIRRu64QHsLzKd2CpsiplcJ1XNI4RDgtUXlpCoqywtRLXN/DC2zmiwWO1ZDamkoZlDFUSmM7bqvCsix6dkWpGhLTUMp2rOYHglA4bNU1Sy+g4ztU0mW2XGJ0ezOTDUzxiFSLHlVKYZQmCj1M07CvHbpaE9o22rSkfMsVxI7DzFg4wiPwg9ZhvmlIhCDyA450wyKvcRoQnotj2ZS1agMvZcW0rLGVwvcErivAddgYDPDLitzxMLVec5OU0Sil8Tyfp1TDR4RAxDEmjCjqimL3EMuUeGnn4dgMpdno9dncucCNmzdYZg8GGWupMFKfmQdnOy5YNvH5C+AJRicZtp7S20pb5dhqfHlmNpvW1EVB2O8+1CxYloWsKuqqJhDumjDd+B6O76GKkr29Qxyj6ZQFDQbX89YEbS01ZVYQ9h9WrGmpGM2n1LXiuFyQdBK63S7D4ZArV64wHY3JjqaIXkyctY1fVUtmdydEvtVegz33bDK4Uq3p4rD3SLK47doPoUOWbbUNomXRu3QeJxDMCotbN47oD1rJvtGGG5/4/KA/0DZAdV0/VkXuF0wD9Fu/9Vu8853vJAxDqqqi2+3y4z/+4+sP43SWdwprPe6Azd+r2tjYOPN1x3H4pm/6Jt71rnfxD/7BP+DDH/7wetlpA/R6kuQ/U0kpiaIO/+7ff4i/8E1fgQglBkmhG+qm5Gg8ZVnM207dAhqQtWExL5jPF+0owxMIz8GiNfa6feuAvSePmc9zlGqDIy9c2CHtbfPq9TtMxsdAewEaDjvcuXuC69hEUet+LIRDt5Nw/fouSeyTdiLMfbwiVwiKosL3xJq3EgYe53YGjMZLgsBbk4SF69DtRdy4cUAc+ySrMZxpDHEc0OmEFGVN4N/blue5bG6k7O2PV42WWB9vEAiGww0uXrrC0dER+wcHQDsi8wPBC59YEgYC33epaoU2Dr4XUZWKg8MxShuCwCPwBUoZOqHFsnaQUuHe9/TquDaeo5DGIgp9hGjfe137aGPxwvURJlK4jr1uFH3PpeuX7I00W6lGeALfbz2JtraGVFZO0xSUlaTRijiKSeIAx7ZZyAJlNFZesljmWK7ADxsiWzMuHeJQEfqiRYO0Jk1CvFqxrAxxqHEdB6k0da2I4pht3yYUDUnoUUlFVStms2XrL2Vs5lnJcNDHcWwWyyVVJXEwVM7DTb5tW1gYptLinGXhewLfE608vxbM8jkH87bJieMA0zQEnovr2MQuvFo1bNmajg1lWVCW7TUlaBTHBAwDhRe7dAKBkpLEtjmvDbuZIHIMlmWTzRZIYeMKgW0MExzcovUKEr6/IlND6FrsaYeOVC0SZNv4wmnPa9dl2TgMTIPr2HSEQxP4uI4LRc6sLjjWkm4UUErZNlaui24Mjml5SS23SNMoiR+EBK7LpuPRNBaLxQJlNLXSCOGRhj5+WTFzBI1lUVWaos6pjaIbJQjHYiIcUqNxlEUtJdOixAKiIKAIPDwXEuEhlWSW5TRGEwnBpazgQ0rhhiF2GGILgapqZCGZHhT4s4LOZoojXBxfcG57m54b89Ktm6jXBFo1pkFXEr+Xnt3EKEW9LEh2tnADHzfw0bVkPMloyimBZ7UZaGc4IZ+Ov9JzDwfMgkV9GqFyv3JsRSimacB28IYDxkuFOZzRH3YIogDXF2ip8KLw0Ryd8Zx4ow2RzfOcPM/Z39/HdV0ENhudPp1ely/dejuz+YzpeMIoicnmC45v7RF6Dkm/asng93EoTwNbz0KHjDHUZU3U7TwSHSoWOf0LWwRJhNdNcAY9DhdL1O6ENHS4/vHrD633RtXjlsAbY75wOEB37tzhne98Jz/zMz/D933f9/E//U//E3/kj/wRfuRHfoR3vOMdv9fH94bVWQ1Qt9vl/e9/P3Ec8/73v5+D1Y31tE5PEs/zHusJc9p4fuJjd3j5pQPe+eXXiGIfYxp6vYhuGrC3N2X7fEIQ+i1HwDTMZjm7d8eE3YQotNqsqUbjG7h1a4+9kyMOxydky4Lz5y+wtbXDb/63jzCfTUmSEMe2sW2bxhjmi5xXrh+wsZEQ+v4qo8cQxRG37pxwbruHaRx6vZYPk0Q+128e8cRViEMfy7awsPA9l/1lxWJZ0utFWLTckzDw2NjoMZ+X9xAlYwh8j+Eg5frNfQJfEK9I15ZlPZILdPXKJYSX8Nsf/SRxYO7xZpqGOPQxDRSlRAibopCEnS36UcJ8UXB0UhCKJaoWTAzUVY3vhyAcikoSBN495EhpEr9hXnpIpRCrm6jvC/q9mI3eEiMdIl+gq5JlXZK7HhY2teWSFwWJ1SClhZQ1tmURWBWj3GbgNXT7AzpRgGnaz3O7q3BxsdB4q/RtXZbUsmGaNXQcG6ebUNcSXEES+diWxa1M060VSeiQlzVoRRJH+FJztDBEQUMnChCuJC8qIhx8o6iN4Gg8w2oMgedQ1BLh2Gx0LCpl1twhgFppbCAOvJUHVUtOdh2bJPRJ44BoXmI7rS9KVucUom0ItTYoqdHBakS1KmMMGM3hdIFuSi5tb2BZHtHpxdNxmXk2Xj7DMho/jKm1pipqai2Zagcja3q+QyIeRJ3sumFR1diNxnG9tbzddx0CpanUSilk2XTCAM9x8FybbF6QVwojF5RaEwUhadPgOQ6pKSmNQ6w1lVJgOQSuSy9NoSjZW5ZsOS1Ca5REeB7CcfBcB2k5BBbYuCxqRa00eVaAcJjYFp5xGEQhpVIsiwJPeFhVzWyxpJCGftSOWjKlIAxwbBdRFfSVZqk1ttP+nlReEvSHOEJgpGSyv8RupnzRH30zjoGPfPxjiG7yUJOjpaSczok2ho9ANORaVm9ZLYHZEQLX96mXPuPdfSwbLCGIOxGO567/VkuF653tsmyUpjENIgrPlPPrlUNz0G0zx1QcMa9qxreP6cQBakXKftS6+hEcnbqqmYynOI7AXoYcHR/T7XbZ2tnmiSefZHR0zG6QkGnF4WQO5ZSNrQ5+2Lpjq1oRds/2YGqdo5f0djYe2RA6vlhL9oXv4UUBtnCpPI/dG7ssJ6/fXuVzrVME6HGVMeYLBwG6fPkyWZaRZRm/9Eu/RF3X/J2/83f4lm/5Fj7+8Y+v/9Behdb9H6Xud3QGuHbtGh/4wAd44YUX+P7v//4zJYGnrz3ujvn+MNT/97/+NZ559lwraRYOtu3Q6YYMa0VRSpIkxF1d7D3fxbJWKpbYX4+d0jQk9AVB6LFzrsfFi28mSRJeevll0qFNKV02z3cJfLEKIoSw63P3zjFdIoTbIGWFUppc1RxPluSVYlk1dAbnefXmEVIqFrnkhU/vknRCPOGsVDU2moaXX9lne7tLZ2UuZlktqffmnROMMaQrFddkusSYlsszmizbQE/HXvGXoJtG3Nmd4DgWcRxw9epV0k6HT3ziUxwejzi3EbdeMbaNaRri2Gd7K+X4eAFW6/vjBTHdtPVUyiobVxiEI1jM59SyJopifNuwN1Kt8i30W9+jqiaOYyxhU5at8u20OZJSk4YOUysgClsCdFlJLMD1BeXdfW7Uii96amvdLJimwbHhZDSltksuXtjGcSx8ERJHMcayefWgJGoWpJ2ENA6RWmOXkn4x42hkyIoKF0Ov18Wx7dYA01eUVds01XXrQB36AseyMCjKShF4glpqQmGx0e/jCI+XDkrMyYzYt1lYNnlZ43uCfiQ4zh0S2SJOAGUtce2GrcRmpl1SpdccIak0jg3n+gHCDQh9B20apFTkdcGyktgyoxAdtDG4992sbBsSaqrGptGaIs8paL2t4jDAW0zROGx3YwLXoZY1eSXIK4k3nXGyyLA6MWGocaxW/u65Dn2nZJxrOpYhDu7dpIRj07NqxtImNDW+7yFsu/VycV02A8GB7UFVUtcah4qjpsFdka3HlkWTFdS1WjsrL6uKyXzOSFo4jUatzAIjy0KbhkopMt1waMAVgswYjB+QeS6FlIyXGQvbpuc3aAx4mjS1kQJMoZkbEH6BQ0NhMqLQY5BGxBr+5Pkur557kqKWHO3usrAdHM9rGxTPww1DLp0/jyk1/+03fxWvG5EEHs7KFPG0jGpdlh91Qy+XOV4SP2wk6DrYwsUJQqLBgMpYLG+NCSKbzrCDZTtUy4KgmzwiE05hcD8jkTjst6iUZVt4bojr++gwIJsvmR/P6eqW2Ox4Yq0wO+XohL3OmYhWm/2VIXwBFmR5RpZn7O3v4TgOHg6dwYCnrl4EYHR0xPjohP27d4lCpzWZ3H5Us6iwLPuR48AqK4lXVgGn99WmaXBcB9cXHN3Ye2i9N7Ie9/2saZovnAboHe94B1mW8Wf/7J/ln/2zf8ZXfuVXnjniefrpp/mFX/gFnnvuOV544QX+9J/+079Hh/x4ajAYrP/9K77iK3jve9/Lv/pX/4qf//mff+Q6SimklI+dB3R/GOpiXvLv/s1/5Zv/0p9eNwlCuKTdkFs3R0SRv369lb9H3Lp1QpIEdLstQuG4Dp00pGlg59wF4iTi1euv0DSaQb9DmbeE2ijy1z/gKPZbFZNpVpyW1kBta8sw3OhwfLRg81yf7Qs9nnj2Ek3TMJ/n3L51xOaFzbUBozENVVVz5/YxxotpggipdWv6ZTcE3S63jgq6RWsp/0QhOJjUTDPN3cM5naQgDETrEmu1KMx0UcLdKX/sj30pk5nkt57/DZSSCNfh5RsnXDzXw/ddtHERXkJVSUbznKpWbF+8gpSa+aIlFMa+YTST9DttQrdjeVg0VEXFyajEVhlbG12qWmGUJEkSXEexN1W4bkEQeMhakxcFvu/Tc5wWZep7bCYRti24dWefRlYsM8PJyQylDL4nWhWcY9PxJMvCgcZQFCUUJY5j4zoOvguhEzDsdQh90Y5HA4VlwYt3lzTzJZEvqKqK6QICT9DxLY6WDo0pQEuCMFo1R4JhLFlWDWEtqWqJF4RsDvsUZUnXU3jGaxvDZYYqauymwbLslthcWYS+aE0oK4XteKSBy3S+kp2vblqlVKAVncDnRHoMG00aBShtWBYlMpfYWBxlkniypBf7BMLFsVsujNtopoTktSTywLZdAs9nvsyZTyYc1w6R0+B2YoQf0hE+QaAY5yV3VUVcaUbTZWvo6bWoTF5J7hQ151wLTykqrdceVFmluFMYerJggIVpwGBhLIulMoxkgysVXhhhPMFUG1QhUUaS2Ypj05B4LufObTISNsvlApX6UJaMdIPVaETXx449LBsiBFt5gTHgWxovkkSRS+zbNI3P8UJxWDQMmgWy0biRy3bsEfsNZWCzJx3OWQZDQ41DHPt0hI1vG8Lbr7ArPTZ2drh68SKXLl5FAbPFguViydUnrmJbFp/4yEeolYttEsa3pwQdQdiLcETrNi6LiqDXfSCm5bSMUqiiJOz1HuLZNMaslWNeEoNlIQIPXUuO92cgM5AV/UvnabTBcp12rGVZNNq0KE3oPXLsVs6XJK9BUmzHxrI9tOfhbwxpOgn7Bws8NP3tFFe0XL7leEGy2X9kk+K4LfpyvwADoK4qjg9G+J2Eo3xGHMf0ul2uPvs0T73pWY5v7zK5vYuuFOU8x1lxhSzLwpg2Fyzud84cj6lV49XvtOaI9modOHWd1ux/6vPH/4HH7wEEX0AcINu26XQ6/PRP/zTf933fx7d927fx9NNP82M/9mMP/OEP/dAP8Y3f+I3843/8j/ljf+yPfcE3QKdf0BNPPMH169f5/u//fj75yU/+juuVZfnYSeCnCNBpNtl/+81Xedvbn+IdX/YUUdw2RmHoc/58j4O9actFWY2Kwsjj/Pke+3sTPM9dvz7cGJB2Pe7cPuHG9VfX2/F8wXAj5dbNIwJfkHTueQl10pAbNw5J4pC0664dotM0Zj7PkVIRRcHaULGVwbcuzWHorRGopmnwfY+93THbO32C+8Ym/UGXGzcO2bm4RZrGbF8YcO2LnmJnkXN4OMaxLYbDFMex1+hUXSv6/W20aDgaHxMOtmgacKuaiTymsBMsIcjtDrU3ICPCiJr9pYVTxugooVm2Y8Oi8Jlmmv1pTuQ5JEkHpRxKJVBGc3234O5hjm7AD0I2hj5NY5gtJHVVkXYilssCXZfESYxSkoOJ4qrl0u24zGdjposlQRjSRTGeFMhKrtCoFoUp84K58jkazems+FBYFkprxscjrmfwxVdMK/l2HRrLIQhCkmDJcqKIfI8yl2SLol0POJxrMqum3wmxhWa2LACQtWR3ZijyJZHn4vkhRydjpFQ0smQ3t9hpWudujY1ubIpljloWfHrqcj4rwbLQVY0fBGCBo0oOpm2ECsA0K6CB0Ldp6oz9UtGvFZZlkZV1Ow4SPrpo2D1ZMFsWWMJrVTuVRDcOZWO4tZAMegFRkLA/KxnPl0xrTY7LSwtJYtpjESuEI+8O6IZdcGyWtkVeFChV4qiGwrKYoRBRgtdPWmdtGxyrzbKyjhcoOyTY6uC59voGG2iffLSgyRu2Bz5pFEDTUK3cy09mGYus4vxmzDDMcZuGrWH74DHJFAdLRbdp6KY+ncDntF9IPJu9AnxV4oc+/Si4ZwnhOqigIaoyZF0hHEEjNQWABYFl0KvsGyE84tXN1nNszlUFxfiYV+czlgdHbFx9ko1z59je3uaJJ55Aa83h/j6e4xBubOJ3OjS6g5aSye4M15GE3YDsZEJ64dxDI5vWC0e26M+Z6JCknM6INrbWXkSO52ELge0JyqmgKCaM9ib0GoMf+O34x3VpjKbrR1RO+9D2UCBrLbFd55Gjs3KREfa6eHGEicK26RrnUEyJE0FdlGcbX2rd5qT1UoTvY5rXmBBKhSzaOA+ahmy5JFu2hHHXcXF0Q3J+h/7WEGEgn42pTetNJLVkOV18VuMvYI1cnx7X/HDM8mT68EG/geX7/mNFgOD1hY3/XtT6zHr3u9/Nu9/97kf+4Vvf+lY++tGPfl4O6vNRp14xWZZR1zV37tz5rNa7H615XHXafd8fSPev/+Wv8sRTmwxJ8f1W3RJGHlHssZgXeKIdkVmWRRj5xB2f+azA81zOndvh0qXLqwDVEYtFth6pQYv2bO30GI8XeL5Yk5WD0Of8+QGHR1M8XzzQ6GxsdNnbHbFc3vuhOI5NpxNx88YBnU5Et9tu51R6H0YeeVbi+95a+ZWmEZcvbzKbZqRpjO/7RFGIZbWIz/Xru2xudtcmj/1en3PnL/CRj7zAZDxi0E/WRMSmaQgDj729ETvdAVubAy5c2ODwcAfHDZiVMRcvDtnc7N1LyDYNd+4ccnTUcOnCkM2N/vrCmxcVr948wVIZrrAJAx8/9LFsFz+pyXKFSH1i38V2+nS7MVJpvAzssKH2HIoywu5aJFFMrA37xzlut82cyrKSWbnE+BFO6LArBdtutCJ7wnJZUPsxxoJ9bZNJi0YaXNfFcj10R4HTRQxjbGFTZhlFWVPXFfN6wn5es+MnbFohwnahAeUH6GDJoXbYTHrkKy8Uy4Uy8lmqiptljXAEXtTFi0OU0ih3yWRaoAqFsR1sy2MYxcgwQLs+x0uFFbs0DVQ0eGGIlQR4i4JJoQl7Hp7ropY5buMz6MQkRc1oXhOG7Y2hKHIaH8IwouPaOE7Azk4XJSVubdHEHp2tPk1jobTNdrdFKQGKssKxcsLQIg5TLgxjfLFBUVbMs5KjkwmBVSECm17YqhdP/X3yysVUOaUdsJGGa4I0tGParKg4blz6SUgnfPC3LlyBk7hYJkdlJVrYmAYCzyX2BeVC03NcksDDvQ958ISLXNaURUUn8NfND7S8pMSuKY2hF4ZEQYBeWSEYVdMoyW1l0280/W6yXteyLHzb4kmV8wllcIKIsq45OTlhOBgwnUyYzmbEQcCbn36awnaoTbOOkHB8H1PXTA6O0aUkLMoViibWiIyRinIyJ+j3Hxm5geU+1BydxkwYqYl3zuEIwTKvmB2OSXoBcS/i0sVL2Nri8PgQXpNm3zYhJeFnIGWrShI+xEnyUGXI5HiMzBT+JGtdr1f+PqfbLhYZ3U68smy454F2mv0l4rPND8uiYLZ7RLTRZ1RlhJ5P5Ad0400uboeMR4d40sWO/Xacef8xv2b8Baw5mNA2R7svfP7Iz6f1uGMw4AsIAfq9PoDfi/rlX/5lvv7rv56maTg+Pv6cuE1vhBT+9OS7H4pcLkr+1b/43/jv/+zb6PdjothbyXzh9s0jlNakabQiMltEocfu3QlPPHGF7e0dXnzxRS5fuUyvH3Pr1l47Ouu2plutcWHA5GRBnldrcq9tW0RxwGSyJM9bWfy9uI2AtKfJswqlDK57z5jx3PkhR0dTfF+speSeJxgOOy3SFPrrhsa2baLI5/io9TEyRq+JtlHks709YDbLCAKPK5cvs7Ozw/Ub16mqBXsHY8LAW5s5njZawnORdTsmEsKlrhVx2qPxbEbTijRVdLvtE0nrRCxwvIAwDFaju7biOKSsag4PFed2BvS6MVUl0UqSW4bJUjKfZ/R7EYNhnySJiOOY4+Mpd/anRKFN2vGw7YheL0EpA86MxId+L2EyXdKZeziuQNaSu0dLsDTdJGoVUaJh2NvGAHmu2d6K8DxBAywWOVo2rUdTX7Cz1ccVOyitmc8XvPyqx627c7a6Lr3ExhEOvteq52aLkJNJRSfQbA7vZfQY03AymXN0Ahupx2BwL+JEqQ77x0vy5QJLS4QQdDoulmvRiVqUqRc0Ld8idki7MZ7n0ut46JOaNLZat29q/KBDtxOSFTWlLdnpQBQI9o5nlGVFHLSIzlSHLJcZ/U4buaJqG+HHOLbF7anBE62bddO01g1JEtKxXQ5yKIscYQXEgcATLlHgkXRSxpWDUkuKvEYKB184KKUJAp+i8VvzyfuCKiulcDEgvIeuC65w6XQSjssFobAJw4BSKupSIqua0jRQZKjIw33IRsAhMCVlYz20zHVshFEc1oauZxOveFfacymloMhyDicF2Iog0ohKrkaI7Wd8pZzzW0VJtLFN1Onw7DPPMJlOuX37NjQN+3lOOZmy9cRTDLc2uXjhAk89+SSL5ZLx8TH7ZUUddigKm+XJiLAXEKbteEzVNUabs/k7qkVS2tHZ2eiQqiqCwQDX91vuThCgjGG7e4Hl4ZQ7h3cJBimu77UQHaemippinpGejx/in7aZY2ejUrbrYguD0Q3JuXPUwmV+d0IUOKSDDo4nUJVck7Jt20Kqe42KUZpiusR/VJyHVK3Lvmgfasq6oqwrjscjXlEGu6wZJB0un7+E4zmUdUVW5Mznc+qyemD8Be31UBuzHn/d/cQrD+3zja4/0COw3+sD+HxW0zT88A//MN/3fd/Hj/zIj/De9773ge7/s6k3YgR26sEQBAHz+Xz9+ic+dpsrz5zjbe+8htVYLAvZKmBsixc+tUcnDVqnZsvC8zyevnaN0ajklVd+lSAU+H5CXSs6nYDrr+xz6comURxgW23u0nCzw53bR7hXd4g7wVrhtLHZ5fatY3zfXTcuQjh0koC6bijLmiQ59Rlqm5DRaLZumu7FbQQMN1Jm8wddq4PAY+fcgIODE5bLYp2s3uagRdy8ecBb3vJFbGxu8OlPf5q8yAlDn343IcvKFZdmperxPbY2e+zunjAYdClLiWlsPD9l4MP+/pTDA41SfcLQpywlwrU5v52SFS1fyffbpk0bg0WDVDaOaxPHIXEcUtWtomc+y9k/nGBbDXHSoZO4lGVF0yiapmE0XhBHLkkS4Kxcf/tpwMFJgXBLaAy9bpdeL6YsJaqxUYWk9nOySqGVotfvEgQes7xEKUMcuyjVxh10koS0Y3E8V0ThkijyWzmv8Hj26YsMBwVW0xKdlaoxdYXyPOpaM18s2Uw6a7TvtITrkpWa7b5LEt1r7D3h0k8lR9OKC12fbhpjTJt0bpTER3LzWLMVN/R63bUfVBT4bMWSXBo8pbFtp+V0WRaB59IPWrdqx7EJXZuk32XYT8krxdGtQ06o0CqhlBrXMqSr0MrIK6lrQxM0lLVCyxpHeMShx7yuqaQhMqZVPs1ztKwZpgl2ZROahDjwMVqR5TmzLMMVgp4DldQkK9QBaP15hMuWY1GpZq2E8/wWCVTVgtCSGMsn8FwiX7ThqFJRzTNsLTkpXbrLgjT01zlfShvcpmEiAuDhB66mgap5MI7BsW1i30abgNiTYGxQDYtlSeG5eMJB2DY7VQaFIel0eO655zg6OmJvdxdoUQdZFIi0S1YW5HfucOfOHXzfp9vtEYUh73j728ksh6wsGJ8cMxtPGN8dI4TB8cANgzN5NEYpqkVOsn1GanzToGuF37mH4Fi2TdhJuPb0NWYnJ3z8oy9ieR7eckS61cH173ezlogowBEuDc2D6FAtySYLwl7vbFRKqTYQNYmw3ZYMrqXk6GiBrQpcG4JeApbVql3v4wBpqZCVJHqU+aGUhN2HidWOcFGm5uhkxFwp7n5kQQhcurDJ5s4mF8+fZ3Q0InZDlGejdDs+PkWAjNbMjz7/4y/4wxHYH5iaTCb823/7b/kv/+W/8GVf9mX89b/+119XA/S4R2DQokCe5z30+i/9/PM8++aL9AcJrnBpejG9jS6joymObdHrxySdmKtXn2A0GvORD30CT9ikTcR4mTGe5xyPZ8yXBbMXcjpJiBAtsmM1kOcFN28esLndw1spKMyK07O7O2Jrq0ewuoFZloXtKo4Op1hWjyjy103T1maf3bsnD8RtuK5DN424vuIV3T8iC0Mf13NZLLIHnu7SNOFP/sl3UpU1v/2Rj2Gvrm9CuHR7HW7caNGs08YMWhQqCFak2UVGGG+Q9lrjQtcVHBxMCf2MfJmR5SW+H9BJY47HJXlerhugPCtxbTi/1aG4rznyPYHrOKRph5NxQeRHpFHIdDyikhpXOAir5uhkSRj2HzBUDEMP160YT+ckgSCMo1VWjsP57R63dzO0MZhaQdNgZE3RQGDVTOatu3deVBgliaIEVziMFhlFURMGHmVRMpkusZqGTuwxXnpc6Ht4vkdR1kwmc4rFBN8x7I0qfL89B04NNaGh12kz27QxD4xmACxTY5qA7so8Uiq9itxYMp1MEbVFGEZkRUXgt1Enge+yOykYuiVpmuB7Yn0+JIHN3tRFqRxhW2wO+60BZpOxMwjZG7mITCKrAlsIgqDdbipgUlgkKy4ONAR+i/Z0/Zrpahm0yIPteoTCoSwLxkVD7EmEK9CWoBOnbfxIUXJQWviiohMFbWSGlAjPx7csjgpIlKKfdvB9n72jEaquSEOPsXTpS03kC0KvNS0tipooShgpwXyegzI4nksg3JXRI/iOi9QPNkBKG2wLOr7zwI3+/toUBssNSYIAaQy1UqiqwnJb7tNz/Q0G166xt7fH0eHhej2jJPVySbz1YCJ5VVUcHh5QL5YYrdm8eJnBcMC1574I27YYn5xwfPcuBy+/CKLE9QMcv0Xq7BVfR0uJCIOzOTpSUs5mBP17afWe5/HMs8+QZzk3b93CiTsE/R4WsJgX6HxEZxji+C75dEHU77WNRsM6EPk0zb6Rp6jUyhjtdL8r5VjQbwndlm21jZXXjseqxZLx3X38XGNhUy1yalWvt62Vwu88OvsrnyzWvkIPLZcKW7gEaauWq2rJS/snfPyTr9AJBL1eh42dLS5de6rlFc5maK0xpiWD3/345x/9gcevAoM/RIB+X9ZgMOA3fuM31hcCIcTnDP29EQgQPCiFv7/qSvFvf+pX+Et/68/S7bWZNKHrMNzqsnfnhCtPnOetf+SLODg4YJlNOH9pyN6tY1zPYTCMcD0NzhbLZcndW8f0tkLi2AfaC623tNm9PcIK9MqzpUFWmjyrWcwLjk4mrVGf08ZBbGxeYjSeU1Ylm5u9VtJsWWilcVyL/b0Rm5tdhOe2UnbbZjjssL8/ap/6V27Gp0aHs1mJlO0FKIoirl17mv39I379+Y+ys9Oj17134Y4in83NPrN5/gCi1HKUUm7ePGRr6zJ+GBGuuBvDYY+ibHAcRV0rLN3gNBoja4Qt2T2oEV67raoq8XyfuOOxd5A92BzlBb5v8ey184RhB6kUNBZ201BlOYvZkvmypCjqtWFke2wekddw525BcM5bHxdAGPiknYqqyunEAV7Qfs6yVliNZPewxpjWm8f3XKKoDWrdTF2mS0USt7EfRkvCMGo9jOZLxtOKyxe3sYHc99jZ2qGqJbsnObPJfBWJ0aq7LKPpJj4LJRhUkmh1fKfS3GHHpTLtWNHz3DYE1XUwxrCZejQaHK0p5ksK0ZpfOraF3ShqqdZ5cafVmidmFLJieG4H32sdqJum9SryChdLLwl8HyFE+7RfV5QGxrlF7CgcGizXW4+ufOFSZJqyViuPLLN2Avc9lzLTFLUk9MDSNaqxCBFtiGYjkKamVFCUikYZ/KTNCGtKjS08PM9jNptTlCWW69HxXea6lbdHa5sAhWvBTj8hqBoc2aBx0YWkKioWtUI4NkNhKI1Ncl+zWSmFbTQ9z2WBQ6rNGjkyTUNt2u9r4fg0QBr4aCMopWZalNjYfJFn87998hMU2qyUXfZqVKRwg/BsdZeUlLMpQX/IfLFgvlgAt4iikG6vx9a5c1y9cJFFLVnO58xO7lI7GSIOwbIop3P8tPdIjk5zn9Te932effZZ5vM5N65fp84ygjRFhK2i1fH9lZt1Tb57iGVyvDBccXfuGSw2xiDLCr+brsdQzen/WxZGSqrZkmR78wEScvvw5rYBrIMBfqfDUmmyaU1eTCmLHMuyWI5mxMOz+U5aylVG29mS/bqoCHr3JPv3O1rn8yV7L1wnurnHnd09hptDhpsbbG5v4TgOVy5dYTm4xWxn7yH/uTe6HrcPEHzhNEAPt7GfY/3cz/0cTz75JK7r8mVf9mV86lOfAuATn/gE73jHO+j3+7z//e9/4Cn/873s/rr/Kej1IDlvVBzGZ0KWdm+d8Ev/n+fJs2r9vsLI44986ZvZGFzk4x97Yf2jCSOf7QtDjg5n5EXV+px4Lt1ezKWrWyxmRTtq6gR00pCtnR5PP3cOWUnSbsjO+S4Xrw546rlNnnx2E8czDLcDti/GbJwPCFPNxjmfg5MjJosTptmIo/EhR6Mjpos5r966w8c++QqffukWn375Fq+8eoeDgxF7e8e89PJd7u6ecHIyYzJeUJaSLF+wt3eC1jbb2xd4+eUbXL9+g2435vatQ2bzjKqSrWqpaUgSn+OT2QM5aACua+O6gqNRwc72Fkkc43seUeQzHIQcjWpsGjY3h2xuDvFcD9+xWMzm7O0esrd3RFlU+L5PEodsDnwm89YLSEpFVdaknR475zYZTZdURUU3jen3UhxbEPoOGx2P8Sjj4HDMbLakquo1wmhhY73m1+Z5LoFncTAq0Y1Fv5fQ6yb0+x0G/R6DWDA6GLOYzihLSVHUK/6KRylhsSwoywrbdolCH0+4bPRDpJMymc45Ho3JFzNsu+HcVpdLWx28ICX2AizdMJ4sWBZVi8Y5bZjq6flVVhKjauIoQtuC4r4ssqZpk9373RA3SvF8Hz8IsbWhznJm0yW6WnCUWQ+MF6B16+4IjfBTLKshz/P1Pj3PpeNKslIShgHbw5Q0ifG8AA+bUGXcOZgymS64HyDxPYee35BX7fdlCXFfc+TQ9RoqacjL1n07CQRx4NIJXOx6ycmsIMtKikrR+AGBHxJGARf7IQqb2XxOVlYYrRCuQ+gJBp4iUxZKmzapXbZmhJ3Ap+dZ1G5IJ2iDcmXjoiqFkrrlfpWGZSnXn2UpNZbj0Ak8Ssulvg+VrqTGSEngefiu1YatcjoeE6RxyLnhBr3pCXdf3mNy54hqMUcWBbqqqOYLRBw/okmR7Zn5muYozwt2b9/hhd/+bT720issaklna4tnvuTLufbcO9lOzuGWCpmVmBV/5f5qm5Qav5tiC0EYhjz3pueYTCbcvHkTXdfUywz7vpgO23FwwxAvSfB7AxBDpseSye0T6uUSWbZuzFoqiulyPSprkaH70SGD7Qlsz31IAWaUplpm+GkHP03wOx3odFkan6PdGce3DigWWYswvcYGpjEGVdWEvc4jVGmtZN8R7kONl7tCn4JBD297i3Gm+NQnXuETH/k4r3z6JY73Dzm+tcebn3qWf/JP/gk/+qM/yrd+67fytre97cypwOOux40AtQj/F0Zc1u+qAXr11Vf55m/+Zn7wB3+Q3d1drly5wrd+67dSVRVf+7Vfy9vf/nY+9KEP8cILL/BTP/VTAJ/3ZZ+pXs+X9EaOwD5TY/Vr/8sn+NRHb1LkFa7r8Mwzz3Dp0jlefvXT3Lq+R7W6oNq2RRj7xJ2I+bRASb1+PY59/NBbxWPce71VbAVkWdtUCNHmYvUHCcPNlswbBIKkE9AfJFy4NOTqExs0QLcXcu5ClwtX+lx7bpMnn9kgTFy2zsdcuJKyfSHh3JWEC1dTFtmUusmoyVhUE+blmErnSA3Ygl/9tV/n1/733+TFV25y++4+x6MJn/zkDV56+Q7Xb+xx+/ZRq1zzBDduHHJwOGYyWTAaLzg5meP4CTdvj7lx8y7jyZSqlriOIAwDLFoTQeG5eJ5HmsZsbAw4t93j8HDJfDKlLErKsiLLy9b4TkKWFeRZSZLEREmEbTX0VwhMtQoutWyLwaDPpcs7OCKkzkrqvGA+nbO/P6IscwaDkKy0HwidbZoG0zT4Di0fYXUzcF2Hfi9hcyMhkw7gErg2ebZkOl1QlDVJoDkcLanriiDwcV2HIPDp97tkecZ0uiAvKqyVKaIxhsCzmOYarRTaWMR+QK+T0gkCAluzN67Ii7bJbkNwbXppzCC2KCqNXt18q1qh6po4jkiT1kwzjQP63YQoipG1xjVNO2YZzVlkJXJ1vpnGotuJGZVQ5AX3jy8c28bCMMlNK7dfIV/dJGTYT0iTiEkGRalRZcVkUZAVFRYWsbDYX2iqssYXYo2uuI5D4lucVDbLvMRyBcFqJOcJl2HiUbsheSlZLJZki4JsmVHL1t5hrAQaG9Wc+hOtJOiuy7xxqJSikopGShy3jf7whEOF0ybLi9b9OglDOlGCY7lUecnJfMkkK1uul5S4riD2BbGtqdW9pqJSCrDoBB5dFEXDOpDVdl1CP8AymvOhy9OdECfZIFs4TO6OWB6dUC8WnKK999dpPpff7T2C4CypiwJjtYrZmzdv8amXX+bu8TGlHZD2LvHFX/xOnty5QjeMcFfbhJU0fjbDER5JkvDcc89xfHTMnTt31qnxIozObMoaczrC6hNt7mDHW0yODCc3Tigmc8rZkkY9IoFdaeplRpB22uwyHmxEjGrl7c7q/Vq2jR9H+J2YcGsT4yeUtcdod0I+XVDnJWY9Vl01Xqu8steWlgrrM0j26ywn6vcI0oSgnxJub5FbHpNRxsnuCb/+//1f+Yf/8B/yjd/4jfzkT/4kjuPw3ve+l3/5L/8l3/u938tXf/VXs7W19dC2H0c9bg6Q7/trHujv9/pdjcA+9alP8QM/8AN8/dd/PQDvfe97+aqv+ir+03/6T8xmM/7RP/pHRFHED/zAD/BX/+pf5Zu/+Zs/78s+U0VR9BmXn1Vv5Ajsd+r2/+f/16+ydW6DSxeuMD6Zc+fOHWpZs8wqnJMFvUHchi06Fmk3JM8ljsOayHmKBO3ePiEMPTqnRoueS3cQc+fmCUEg7r0uHHq9mNs3Twij9nVjDJ7X/vudWyekaYi/4ggJ4dC3LIpMtr4wwb3QwjD0wLZwHItOGmLbNpYFz7zpIqPNGR/9yCdJewFXnhy2z3SrqI+9u2OSviCK/NYvo2nQjsXRZI4zgSD0WC4KysqhwcayNZ94qWY4yBDCw7Ja2/uykNSOz3TekJcSbWowGq0tyqrGahp8P2QymtE07RN5mVd86kRz5XyPOtDUUuJYLWlxtqgIXI3t2MiqIogjOlHAhe2G2azGsV2UMWTzZfuZBQHTRUkSNOxsD7Asi6KscWgYDGKy0qEo6/UIqi2LfiJIk5BBL6GWmqqWaFlS5Tm39pZc3o4YDnpE0b1A025ouLtf0g8NaTe9Rz73BWlUk5c1tgUWGt/xoGnHKtJYZJmkVg1VWeF7HnHko43hzklNEtXEod/GbQDdJMQTkvFcEUdtmKfnOsShwBN94kKS5zVLZ0HpeURxhGW7NKomFpJauQ/EbSilsWjWoa/3c2FcxyEKBJ3wdPs+qpYUVUUhXKQyLKuarmMR+g9e1nzhUumCSrZcn/vl6W2IrKaSil4cEYchQRxRVpL5eMJJbSOdhkEakfZ69GIfJRVKG3xXUq8eMFiRvAF81yV1amplqGyFVpIg8OlFAcr4qMaiKCRlXpPVFYaGniOwLYvEaZhrm2TVbCqpsF1BKFyUNuxJh67S9NKIQmkm0zGe8LAtm2esjDvuECfqoP2QcnqCKR2s4wnxRoMtxHo8ZpRELpaIreRsArOUeHH6ADrUNA3ZMmNeT1geHBBvbNMb9OlGKde2z1PZFcuyYHJyQu4FdPt9nn32GXZ39zhc8ZKMUlSzBV56tnLMSEmj9D03a3FKYk7IFjnZ4TFB10dV7TloC3EvukZK6mWBl6xI2fc1fcYYjFZ4SYJznxCgVZi1DZIqFfH2Fo4QzBYl+uCEziAkTEK0kjQruf1Dx6w1VV6sx1+vLa0U5bIgTdvjshwHO3RwfR8x6DNd5Nz9ZCt/r6qKD33oQ3zoQx8C4OLFi7z97W/ny7/8y/mWb/kWDg4O+PCHP8zzzz/PCy+8gFLqof19rvW4R2Cv5776e1W/qwboa77max747xdffJGnn36aj370o7zzne9cfxBvfetbeeGFFwA+78s+U0VRtL7QfrZVliVpmn7Wf//Z1u+EAAE898wXsZN+CR97aY/x+Ai0pjGauqg5PJzT7Qb0eglhJPA8B1/U7N3NqeSMJA2xLQvbsRludbl7e8zlqxsknXafYeRz7mKfg/0Z7n1Gi0Hoce5Cn4P9KUK4GGNayXYo2D7XGjAK4ayNFoNAsLHZ4e6dMUK46+0L4dLrRty6eUwY+mxsdnn66adXP76MIs9JOj5e8mAg6ikXJYr9dVBptxcTRj5H+1OSNCSIQoTbRwiXPM/ZO8hw3JLuwEdLg/AUYeRT1Q1VU5B2B3h+3DZTx2MGWymzucaJUywcqrykyGvKEpZZw8dePCTtdumkMa7rYLQmrw2fujHDtjRhENKTmtm8oKwl43GOVA7CsSkriWO7GKUw5YJPfloxniyJ44C6kjh2gxA+82XF8XFNr5dgWxZlWZMvM3zf5XhmiMKCOAoIfUFV22iZ4ds1s6khLyTqeIYxLU+noWGelfjYbG60KjLLWqF9vsP13ZxhKOl1uyRJ+73ZNrjLKeOpIfbBDwNcL0Q3FkHoEfuKslQ4tr1GLE6jVGTTEqN9T6yao4Z+N6Lbabh+WOG6htAPcC2LvYPDdpue4DCHJJRrBVlRSYTVsJUK5rVDKvU65b6VCsMwdbHdgCTyafApK0ktFVVeIuoFJ03IRimJQ+sBo8HYqsi1tQ5MPS3fdek4OdNFTTcJ2doctEGXVUXSiVmOF9w9XpLN5/T7KUomxFFImqbsmCVHMxAyw3VaPkq1Mod0UeyX0KsKGiUJbZeibiNIfcdiZPuEpiaTBmWAZsmyrKi1YaQd3LoBC4qiIAgixpRUUrMsK6aBjykld0ZjlIHYaTBY9OSCxpVgBViOQ6M0/sZ5LMdldrLE0hPiYadNb69r3Ch+JDeoms3we4NHqKxku33HZZaXTBYZN3f3iXyPnm+zmXTYfssW3a0tJuMJ0+n0vm0rlKwfyIQ7rcaY1nDzNc2R7br3lGSOD26fyW6GEHOSrbRt6lwXozTuI4JRjVQU4xlBv49lO2s7EE+Idr+y/W5EGLTNl+9h4pCylsxvjbFUQbzRodGGxjQPjLl0rSjnGZ1z8ZnNpJFqrWi7vyzbwhUeNiXVPHvomAHu3r3L3bt3+bmf+znCMOStb30rb3/72/mbf/NvEkURH/3oR3n++ef58Ic/zGg0OnMbv1M97hHYF4oCDB4jCbqua37oh36I7/iO7+D69es88cQT62XtyeYwmUyYz+ef12X9fv+Rx/x6vqiyLB/KEXsc9TuN1r7u676Od7/73fzwD/8wSzPh//w/fAVh1EpqjTYs5znjgzEeHoaAea5ofIHUhk+/cESSeISBwHXaH35da27fPGFzq4O3SmE3TYPt2Bwfzhhupi2R1G7T16O4NVqsK4lttaZlUezT6QbMZgXCcxFro0WP4WaH6XSJ57tr6XUY+Zw736csDFevPkVRFNR1G0C6sdNj9+6odbNeNVOucEi7EbduHBMnAWnaNrin/j+usJmNl+xcuEq3NyAMffK8wnFHZFlNtcwopcJxHDY2+mAaDo9rGqPxRNucJJ2QKLqM0g5R4NBJo1XDYDGbLXn15RtMJpqtzQAv8nBct5WIb0S88uoRvY7LufM7BIEPDWitCbpzxqMllrBI4h7dbtLGLQRzZrdPmOQwLSqKsiaI2pyy2i64dSKZ1A3CtZnPJVo1eCKhlDUv7dWkycq3pNYsc5vG7dIECdfv5mg1oqHBFR5VrVguFkgZYQdZm5UG2BZUVc10NkfmBiGCdqy1umZbwMEoJ7QKgiigG+csfRdb+GhZs5tBPJ9iNZogDLDmeZvj1hTsnRiWRUVZlNi2g3BXfimNRJk22uLOwTGz2RIhPGRVcjw3WLnD5rCDY1mtQzQNwhWMlzV+U66dsrOipswLmsbiKNN41oLklLAN5LVBKxgtS6LmiDCJ8FwXz2sJ23mec1QIesuCSKr7wQEm84yjvGHDWOyfTKmqEtO05FqNzbiGxgK9UBzPjrGEiy08LMtmVNtseDFpJ2Fkt2nuUknyxmWkJUeVJIoCOiJc3xxr3ybTNZl0caIILwhZOA5KK2RdsERxw7HxXAc/7uGlIUrYuMCOsbAaWMgS33LohkHrVg2EecmlecWuCjBS4gQRbtg2ObbnY1RKvixQ80OsJifa2KZZcXjuv3GvuUGPQDtUnuOlPaxVU2I7DjgOhTHMjqcc7dc8++Yv5uCV2wS9mGtPPImmYb6Yc3j7DirtnYmkaCkppjPCjc2HxkxN09BojUgS/G4XmhQjJdOjJagpUS+kWiyJB/1HkrJbP6N2WUsjeJZlljGdTu9rvMT6PdmOg+P7QMP8bokaKYrlCd2tDmKlLLMdB61UGxT7iPFXMV/idx4OoAVotEYdTB56/awqioLf/M3f5Dd/8zcBuHr1Kl/6pV/Ku971Lr7927+dO3fu8Pzzz/P888/z4osvftYK58c9AvsD2QB98IMfJEkS/tJf+kt88IMffOhmHgQBeZ7juu7nddlnaoBeD5LzRo3A6ro+swHyfZ+/9tf+Gs8++yzf8z3fw40bbU7MzuUtvvQr3kIYt/49whe4nkOdlaSBQHgR/e0+VmOzd3SE59nEaYzjtr4XOq842p+wVCW+LzHagFFURUWVVxweLel3I/xQEIbtPP3O7RNu3TigVjlZVrXp5oHH7u1xOy7rt4Z+ruuQdgJu3x6RZC1nybZbo8ULF7bpJNtcf+Umtcy5du3plTmiR68fMZu/xrU68tk53+X4eIbvi7WqyPcFYRRwfCjZPi+IovZzSJKQ8xc2uHVzQlYUOE47PpFVSzTGKjk5bgNX86LCGEWadqiqmqNRTRQHDAZ9yqqiKEouXtoh7lQEUbsPYxTGaOpKkgQNde2QpglRdO+cCAKf8bjC9yzOX9wmikKapmFzc8DmRp+DgwmOfY/UbbsutRSMxgWDQUgUhaQdB9fz6HY7TKcLjk4KdnYSfN9jOp0z2OzQ7XUZT3JUnRGHWyilyPIC5guaQZ+sdjFBQDxM11C/zgrSUpHXNtZgCCuVm2karEAilg21FGxf2MSyXZZVRVVJatkwXlT4wmJzc5tkkFIaswondRmXFdOlxLE9oiBBOz444A7hRFqMJjmFFlidLUTgUSlNU825taiYWjXacjBK00m7xFGAlhl3VUO3aVHahQbjOoRhAEXFvmlI7QjHsSlNTe4bvJ0O3bphZiS140GjsLVNXhtMmCAiwTTwII3Aam/6Silcx6KvfaoIRCiwrIBT3MOdOPSaho2uz9agQyXbUajRilopiuMZC8vl/EZEEscIN8F2HOpa8uqdE6qFZnMQ0+2EbRwKrf3AaJ4znhj6ccCw20G4dpujJzscjZfsjzIiW5JEHsNEEPqCXi9lvix55TAjdSwGaUzaifBXN15POHyxqrgzK5GLOSLp37uhu2LlidMqQPOTQ8y4oC7qNk1dCJyV+aMs8tWI6ix0qKbKcsKo+xDagWWxMRxy4dxFbu4fMp9MUC/v4qicc1fP0emlPHn+AjwdIy2YTWfMZrP1GMdI1UaknLHfRmuq5RIv6dxLpPc8HN9Hyw7ZfEZxkmE5rYu144n1eKwxBlnXK+WYQAjBs88+S57n3LhxA1XXFNM58eYWlm09MBWwLBvbdvA6nRY9AmbTAlOc0BlGCF+QTxf4vfSRxomqrAgHvYffU9PQKIXcHz+07LOpmzdvcvPmTf79v//3xHHMl3zJl/D2t7+d7/qu70IIwW//9m/z/PPP85GPfITJ5NFN1uM2QnwjJiRvVD2WBuiXfumX+PEf/3F+4zd+AyEEg8GAT3ziEw/8zWKxwPO8z/uyz1SdTudzTrh/I1Vgr93u5uYmf/tv/23yPOd973vfAyaJ/7//8OsMtns8+UWXCaIAx3WIkoi6qFnOcrqDBNuGNO0w3OlxtDsiThuCqCWoxWlEEPns3z6iv90jXI28TtGk473R/5+9P42VJc3Le9FfvBHxxhw5rmkPNfbczdTVjTnYYLC5HFuAaUuNPHDAlrEMsmUuhh5wN4OFMAZ/ubKFjAQYY18sI6xzjxA+NpjBbkZjeu6uufbetac15hxzvBFv3A+Re1Xtql09VFfh0+r+S/vLylyxMnNnZjzx/J+B0AkwHYd129E0CmW73DisSLI1m9UCQYchoFYNjz9+yP7egNE4OE+JDgOHK88cc9/9U4LI5eKFCxwc7PPxjz3G4489ywMP7tHqFiHEtvB1y/b47rkOqRdvu6wWGXlWYm/TW8uixnU89g520J1B07TnWhfPc4hCg9u3ay5fHjOZjKiV6kGmpTk8nJOkG8LQIY4HuG7/miTJmjQr8byKs7M5poALF/eZThvOzgqi2MWgY7NJUHWCZQmSvOLw9im7exM8z8XeBrcNYoMkY6t12mYoCQhCn1LNGQawu7+PlDZVWVOrmqauOTpeEQYZceQxGvb/L5ZlUVbGc91skU8Yxfh+n4p8eNwSxwFh6HN2tsR1TAzDIs0L6rKmbTscx+p7xbTmwoVdNnn/Oo1GEbDVd2QFVR6ySDp2dobnTJxuNXle8tQzt1ivUmxRYpsebugRRSMMY49r18/INyviyGMyDhGmhe95lGXNk9fOcI2OySDADzzCbfr2Jol55lbG2NNUdUWnPeJRn9AdRyan65aDnb5PK/YabMdhGAesNhmnq5YLE4nj2CzXGTo2iaKQoqxZJC0HwzsJ2gWbZAOi76cqG4tBbBN4znbF1HBhZ8BinZJVEAXyubVbq+l026ehm5Jh7CHtfi1b1g2LVUqeVWTKoKpqbNMEaeG5ktCzGcceGy/m4o7EcyyU6sMuOyAvK/IGDqQk8p+78PFdiSUMTnIwKHAtSV0qXM9jnRbkeUHTNhR1jTsIzu3y0Gud3uiV/NqJTasa5D2ABF2/avJ2L2BKl65VJIsM1BJ/FIKAar0h2L+3Nkg3DXYQ3ZPBmQ5HXBrFPP7sDSpNv2JzXLQKOTwpKB+9gqBm/3UPsXNwgenODg8++CBZlrGYnXGcpjjhS7W3K9qqQgzHdz0uYVkYptknTk8O0KbH4vYGS2qiaf84dddRLjf4O1Mc1+X1r389aZry7LPX6LoepAjTPmdwnn9O0E1DneW48QC5lViYjkPrBxSqZn54Ak3O2HNptzlJ55b9O1qqKMC8p96pwUgqmrx48f/TZzlZlvEHf/AH/MEf/AGGYfDQQw/xyCOP8I3f+I38g3/wD3j22WfP2aGnn376rrLzV7oK4wsKAF29epVv//Zv52d+5md405veBMDb3/52fv7nf/78Ps8++yxVVTEej//Ub/tUMxgMPuXt95pX0wX2/OO++c1v5j3veQ+///u/zy/8wi+8iM7sOvi1f/Ob/I3/9zsY7Q5wPQchDMJByOxk0ddDqGar13GY7o04uT3DNE38sGdL/NBl79KU5dkG59IEd/tF3AupTaqiYDDuV2Raa8JhQDAIqSgZ+eK8wLCuGlbzhGWp0WULuqWpFFVZkxSKx5844m1v/wqUcvnP//n3qYocrTXXrp4wHu9gS8F6nfdi3IHP9WdPuXh5gr99TqYpGE1Cbt6cYUsLx7HJ0pLOGBLGLuuVIooKhsP+ZF7XCsMAx7EwTQtb2rie0zuhHJcsu83sdIUgxvc9Fos1nueyuzNiNlckyXUs0eFIj7ZpAI0w+3j9nW03lSkEbaPZJBnzswTbgsrv27CLosKRLqrpKIoS13We96XdEYeCJO24aFt4Xn/Cb5oGIUyOjjaIpsCVJlmWoRqF40hGQ4fTs4zxQDMa9hbyuq7xfZcgqCjLuj9Rdy1xPGA0DFksEq5cX1CmOUI3JFlF0yjiYcyOa7JOG8KwQUobrTvqWhFGAYatqes+7VsIAaZJ22p2pzG1svE9H0Nr8s2aPE2QnkejKjrLZzodMh5FmKZJ27YoVTGJTQ6PWw4mfaL0nYyk0TDkcmNQ5TmuNBCmjevatE0NnYZOkaQax7GQTv+7UtpEoc8iK2l1n9RsonE8jyjoBc7zrMIwDIaR339QugbbltSqYbbMWMgWPYzwfQ8pJUVREPgOs0L11RhblrGoFOiGKHCYFRbVNiXaMAzktmpkMoppMxNVd1SUVKUgL2tarSnTjI1yyAIf340JfB8MA6VqrHX+olTuO2MYgoHd4pkeu+MYy3F7wJSs6dDUWUZRNUwGd4MUyxREomFfpxw/j/15/uimRmUJ7nR/ywY5COnSqYi8rKnnt7Bsg7auMYR5l8hYN727Sw4mGC/QBl04uEDsOXzsIx+lcX3MbSN7v0ryaBsL4URgWhzfWDO7NSOcRLihz3g6xXc9vvQNb6aUDqVSrFcr1ptNb0k/r754iV4wpag3Ce54B8vzsFyvX4+dJdCscAOLtmlwXZc3vOENrNdrbly/TsdzDi1n8FKdY4o6y5FRvP2/Mfrn5JloaeOoMVXisDqrsZdnRLsxlmNjyl5bVKzTbSjjvXKFGuyy+KzDeD/ddF3HlStXuHLlCr/yK79CFEV8xVd8BY888gjvf//7Ae5ih17JFZhhGF84AKgoCr75m7+Zd7zjHXzrt34r6bYx92u+5mtYr9f8u3/37/jO7/xOfvInf5Jv+IZvwDRNvvZrv/ZP9bZPNZ9qPfZS82q6wO4AoL/8l/8yf+tv/S3+9b/+1/zmb/7mS/9OWfN//uz/zZ/9lj/LYBTihw6Oa+O6DjeeOerzTByPulSYtsloZ8Dp7Tl7l6d9JYYQ+IGLKmvWixTTMnvwY5kEsUeRF6RJwcDswY7jSuKxz3Jp0tYaP7xzDHBcm+Nbc2zbIog8DHr3Was0o2gPW3Y8dfMKVmgjggFGXnF8uOBwvibwfW4dL2malrqsyTYlq3VGFHl9SKElzksLn712gutKXDnCEBUGoFTFE4+tuHzfhDDyyZIcjI7JNGA+r/D8jMEgQgiB40qGg5AkafCDAGnZGFr3Sb5lwWJ+RFU0XLw4JZz06xfLMnFkx7PPzkjTpNcp+QG7uxPyrOSqfYopFEYH6/WqZ5pcnyi0ODpJcd2+8LXdMime61DXLWVZ9xZ9w8CyLMLQ52A/ZjHPCP0AQ2uqLKMqClTboeo+qTgvCwZxHzQmpc0gkhwep8RljWP3+ijTNBmNIi4rTacbTGGimwJ0B01D0Srmy5rQM5hOhxRFSdso/MDH8zpOZgV+0Acjdl1Hvk16vnyxL7aNwoC27cXP2WpDulpztlEEsiEIPTwhsCyLKIpYLDLqBsC46zNpmiaeNLh+q+bS1GZvZ4gQgqpWlJUiyiqu31wziEwGw5i467/cHWkxjWCTt9SqQdCX4t5JJR/7FXnVIq0apRSBHzAaBNSqoVT9utnuDPKkYL5cEcY+g9Bn6EGpGgLd0dFR1Q2GKRn6Dk1XU9Ytgde71qqqoWtqhlGI63eItsX3JXXToErFOsloug5f1Mw34EqBJUQPDDsIPZf79gS27SBMEwN9HjPQak1gQSV8/CDENEDXNYYfkBY1XZNylmt20gJDGHjbgMo7q5uHrYRTY3JPHU3bKCwvwHgeOBKmBaYFhkCZLrgR6axEiIRgMkBsNU9aKbruxdqgy5cuMRzEfPJP/oRa9HlcL5yu6aMCnMEEYVlopUjXBeuTY5LZCsPQ6NZg54EHmEwmXLx0iYcchzRJmJ2ccDxfYHjeSxSyKjDEOVgzpTxfj6myIJmf4piSBy/ex9GNmxyfnpzf945zLAzjl3DDNX2O0vY537Ux6DqaosIbT7A9l7aqSVY5bdEnWhsG1EWJv/PiC/FOdzR1jVeZrzgAeuEkScLv/u7v8ru/+7sIIXjNa17DI488wrd8y7fwvd/7vQB8/dd/PVprrl69+llvRZ4/QogvHA3Qb/zGb/D444/z+OOP83M/93PnP7927Ro/+7M/y9/8m3+Td7/73bRtywc+8IH+D1rWn+ptn2peLgB6NVZgVVURxzF//+//fd7+9rfzT/7JP+GJJ574tL+XLDP++Lc+xNf/H38J5fm0wqBtG2rb5drVGbY94uozx9i2iWlAoxS3rx0z3hlu12EGlmOzOFkhLIPBMMSSNtKxGU4GHN88w7ZNgshHCAPXcxhOIj7+oRs9UNqySa4nme4NOTmcc/F+iyB0GQQhDz/8MDeu3+ZD/+NjXLxvQhD14DGM3J5x6iz8ULJ3aUy3vaJPk4Kj62f4Y48gdLfpvh2tpbn61BE7O3uMJwIpJKu1IssUm/WGs8UCaTkI0TEYDBiNIuq64Pr1kp2dEtuy2CQZTVMxGEg2m4bhUDAYDEiSlCRJKLKU46MUx7HwfK8HW65DEHg4bsbJyYLpNMbzPDabBNu22N3xSRKDOO6BWl6USNuirAqyJOHwsGVvb4pSCt3WRHFEEHYslgWeV+F5/XPM8xLPk4Rhn+kTRQF1rSjLCsc2WRsbHnvyhNe95gBH2jiOPA8dM4w1aZrjTcd47lZEbplEocONQ8UgqBnE7vkJ1ypLQplxeLhAqYam6VObA78XRltWzyp5rqQoKlpV4bgeQWBy4zgjChui0MP3XZRqiAIXRzro1uH49gnC7MGmIyW2NLm4P8YPXWxHgu62Sdq9w88WCq0l1vYk7ntOD2jouHla0VY1dtuy2aSYVs8A2pbFIq0Z2iXDQXTO2phC4LkWt2YK2gzT0LheL/J3HZv9cciqtrHsjtnJGbrRUClSo0ArxVEpCFxFpzu6psbx+vdAWDccrztCv8GVVl/HYQjCwMEsFUcbg4EpGPkBm6wPVjQwMLqWW/MCi45h7PXJ13lFXZaYpmRRdoycjmEc0XWaoqjoKPACHzeckmY50tzmezk2rdYMAkneOTQtlFlFXSks28I2TcSkmiwAAQAASURBVBqtedMA/jDpXiRu7hqF2iyxB5NtTs7d0+kGw3aww1FfiaMU2TpHVzPcyEU3JbYXYWx/1wDuv/9+4sGARz/2UdazU7ydC/cEEl2jsPwQ05a9Ddyy6aSD6QWURU5+egM38FidnrJZLjFtG9fzGQwHBJ7L297+NgrTJq8q1qsVSZKc12KoO3lGL2Bw7iQ/+17I677sK7h1lHDjqSew7JZwGiFsm6aqsXzvJYXT5TrpxdH3Soau+6JkU9rnf8t0HbQfkFcV2fEh0oWmqs8b6++sx9qmYfH0DfzXfBlKqRcd+9UarTVPPfUUTz31FP/hP/wHhsMhv/ALv8DOzg4/9mM/hlLq3Gb/0Y9+lCy7tzvtpUYI8XmTAg2fIwB6xzve8ZJo8YEHHuDpp5/mgx/8IF/91V99l3PqHe94x5/qbS81n25Fdq95tVZghmHw9re/ndPTU9797nczm80+499dHs75H//XB/gL3/GXcSMPEQm8OMDsBJ2UyPEI29m2WxcVy9ma5bNLXE9iGhpBR1s1zE6PmO7GjCYxluxtvcHA58aVEw4uTwljj7pS+L7DdH/E7GSNZfUrtjuusNHOgOVZwu7uDq9//Wu5ffuQ2fyEwThiNU+wLBN5p+DSl/ieTVW06FYjtycxW/ai6XxTMBwFOO6d4DKDB197P7qOObg4JAg8dNfRti3zU5drz8wwZYbvu7hhSaU1ndUwWykMq6RtDYqiwBQe0nZQTcPRScbpWYFuFVmWk2UNlm1xcryiqnpRtNxWPKwXa05O++fg+36fOmwYNKphNl8ym2mmkyGXL13AcSVpkgMnHB8u0E2NxsC2bHZ2A6QUQN9F5roOWVbQ1BVhEBEGMF8UeJ5LGPrs7e1wdDRDoHFtmzJL2SwFppRIafevqdVxOm/Z3zfvOgF5noMrN2w2GdOdIcNhz4Q1oQeG4OqzS+anC2wp0G1I5pa4js1oYLNYVTiyd3YZhtiuJAWDoDrPLFKqQRia3d0dBnHIo0+dIpKcwHfIqoqToqZtGyzpcLwwCF2T0SjGFwZVWWNaOeOBR7mt27gjcu9zpWwujG10K4niiLbVtLUirytaTOoyIa1bdqeju5+zIzHNiiTPGccRrvvcMSeTAeVcsVieEbgWg8jHtsyeSWoa8qTmmApbmjhmDzqgX6diaKq6P1m1qsay+/TtVndg1FS16kFK2xFuw0Vr1bKscvKswDZaNpgUlcJ1JCPPIVmXLNcaugZp2xR1S+R7RHFEWirKQvXCbNiKpBtC3+NBz6BRHdLt84HqUpHUOYWqkZhcthTHbXMX06NV3TM41ou1kV3b0BR5L5y27V78a0k66aC9kDJLKM9OcAYtoZRgSR563WuJoojHH3uMMkux/egl1m595YYzvHt1ZmwLg3XbYDkxRjBmPa8wmt6u31QV2WZNnSTYns94/4DRaMwDDz6IZZqsNxtmR0ccnZwi/Htrlhzb4nVvezuzvOBsvcGZ7KKVYjPLaIs5ghpvMr3n96pWffHvvdxdndY0qsaJBud6qK7rtusxD0MICsvB8GI2JxWGsSHejftqD2mja8XxJ58i+LKvfsVrKD6bSdMUIQQ//dM/TZIkvOENb+Ctb30r73znO/n+7/9+nnzyyXOb/R0DzqebLxgA9Onm4sWLXLx48f8Rt91rXo6dvSiKV3wF9vDDD/NN3/RNlGXJ+973vpf1gTh8+ha/9yu/zdf9zf8XTuhiOzae4+EOQvLHC0a+i+M5+JGP67ssjhY4sY8XeduU1BYzLTg+mlNbLYbZouuatlIUeUP65G2iyCNwRxhGR6MaVKM5vrVgNH3OSu+4NqN4zCAa8/gTT5Ln2Xal5nJ62F8Zm5bZd4tZJl7gUiYNeVZh2SZCiPPVXLLOydP+56puaJTBZHJAXfdWcCMycCwLsGknMbt5Sac6Di4OsCyLpmlo2gYhOs7OcgZDk53dmOE4JgoD0rTg2tUVk4nZBzZaimgUYFsWx8cphlXR0FEWKZujjDyvUJXBjZtnZLnqgXBn0AGnp3M2y4Td3Yx1onCkhes5BEFAPGxZLedIadLaDSdHxwizFz9fudL2DEvTYACDQR82WStFkmQMhwMWiw1JsmI8HjMad5ycJOgWzKahrCuSvKLIcizbQtXNeVYT9GnKptmxWNfs7hjnP7dMk8lkSFk2zGYLfMshcG1UnqNKQdVokqzCMmp810Q63nkvWhjYHJ0W+F5FXTe4rsdkPKRtFTsji6Lw8AOHuqppVhnQYUnNOt9w6zClaWo836OsesBwcLDLOjfRnTrXDmmt+4gEx2adm1vxt4dSLUVVk6YlZlNxnGrGo6xnIR27z3aRFp5oOE4aJsNtwrQwCIOQVmuMZsbZumRv6DIJPSzLpNUaV9rUzabPaZKgAg/X6+tBpGUxDirSSqNUr5e4wzo5tsXY62+TdkWjFMK28V2HwIP7O8160ycIl1lJXZYYHRTSwqVmWVqEXkunIS9rPNfDMcDualZWyI5n9tEIaY7R9UGkrjC4UcHEhMhzqBtJvuzoWoVNywP6jJuJiR3GGJa1rafIsOPRXaDozuhG0eQZ7iTGeF5ni2Fa/WdSVdjDCxieTzYvecsbL2LUFZ/4yNOopqFcrXCH05deUcG9wVHb0pYFzngXKwjp2hbdxBR5RXM2RzodTZ4THjis1+veCHIdPM9nMIiJo5hLX/1nqS2LNMtZr1dkWUbX9V17D+/vc+t0xjLLtyyM7P9Jh1pYZKfH1M0GVTX4w/DcPUbX0dQK+TyAc/fr1VCtNvjT6T2ToXXTIqSDE8d9ZYdSbBY5upwTjB2aomJ+5Tq+7/8vBUB3thlVVaG15rHHHuOxxx7jl37pl5hMJufaoXe+853keX7ODn3sYx+jKO4t3v4iAPo8men03sj/U80drY4Q4i4l/cudP//n/zzf8z3fwwc/+EEGg8Hn9GG4/smr/P5//G/8mb/y55CejW1Y2G7vblifrRjuDJGegxO4jA7GzA/n2I7EjzyE5+D4Lo7rkMzXjPdHSHfY22JLxXq+ogESbWJagrWyyRpBepZwMsvwfAdHWnzJW96EMAS/+V9+j+HYI4j7E4whDLzA5eazMy5d7ggHPqYwkNLEGtl8/OPLvi087sGl49qMd2IOb8zo6BCGhW59DCHwfMH8rEY6BfEgQKmGuqoJA4c8BdOyiAcBbaupK0WjNKpakawEYRRgW32LtGULdnYlWdrgOC1hFDAYhNi2hR+4zM4UBwc+bdviSEFd+2DA7DQHkRFGAulIGtXQGSaO6xKEBk5QYpomte57rtJyxnxTsLc3YjAZUeSKLCvYbBJmiw03bh8S+g6DwYik6K9iK9VyPGtYbW6QJgnQMhiEWMKgVg1ZlhOGAWlesVysgA6jM/jE47e570LKaNSD0iKvUFXP6hRFRZoW21VTn5+jGsUmUexNh4yHMVWlqOoa29DYFFx9NuXCbsyFi/45sPI8B8+tWK0ShnGA63k0TU3XaTzP5nSpGLb9fQexh2VLLNOkrtbcPk4QgB/0tRtSCsbDGM8uKZTJxHGxLJPVJkEYHWHoY8m+p8z3HKTsc6WUahlGPqrTlGlBJjrywkZKeysG17RCbt13PS3fNA15XtC1HWleszt4LlzTFIIwcNnrOo6WihBFYNnUWU5dCExbolvNyaZhKiuiMDxPfhZbHc5Z1iKSErtrcbYCfgBPSk4NgbQ6PLdPfPYcm6aqUHXNadbii4bhICDwXMqqwhI2oFluNoSKXsPU9AJ333Vom4ZlVVCrEt+RGIAvBb6MsC2TNyxL/svNOVaS4U1G0DaoNMHbfbF9vev0NhgxRtj3YIcaRZ2ssaMdZBDz0AP3oZTi8Y8+Rp3OMM0WWnUeWnpXplDb0hQ58iWAV9comizDnW5Tkrehh510EdJFJSuqoqA7WxFt10jCtimKnHSzJj89xRtP2blwgcFwyGt3X0dH3zFndx23nnyKWVVvBd/PjSEECIG/c4DlenS6ZXm0whINwXTbU7dYEu7uvkT1hQIhXjIrSZUF7nCAKfv3ILaNcBx0HVDkOScffxR0RxiG/0sB0J1txr1cYPP5nN/6rd/it37rt7Asize+8Y088sgjfPu3fzvvete7ePzxx8+dZTdv3gT6FdsXjAbo831eDgN0Ry0vpfyclPNCCL7jO76Db/iGb+Cnfuqn8H2fb/3Wb33Zx7szVz7yFEWleO1XvpnRJOfi7n2Ued338xSnDCYRju8iTEE8jTm7fcruxR282EeYAjd0aZuGZJkw2h0hXYktbUzbZHm8AAyiQUw8jgkGAeF4wOnNU6KdXd78JW+iaVuefvoZWj/imRtLBiONbRrotu3LCMuWJ584YjTyiQcetu0RRSFe4HLj2TP2L/TW7z4l1SSIfW5eX/DgAw/hhwGWadC0LcKuuHGtYne/6q3momM4GRDGLbPTGtuuCEOv136ULjv7McmyI9g6RI6XSwxhUquak+MNk4nN4MIectsTFQQeWdawWRdYlkEUh/iBtwUACxaziiooabt2y1LZXLwUsN6AbdsMhv1VUFXVjKoQrQ3i2CEemUx2PegGtO0Oz1475PDWisHQYjgxsSxFEPo4MuDmzQVJkWEHAtfx8COXjo6gtTle1EytmqLu0KbEtJyeHalXPH1tRjArEZZFWZRIy0RYFlduFcQrje8724qQijTJaDs4mqU0WmBbJsIE3UJZNMxmCbahEEZ3nqHiOBLdVhzOG7TO8eumD81kGwRpNtw6zJB2h3QkUSi3YChgmTSkaUGW5lR1jRf6mGafVn08b+iagkEckGYlUrpMpiFpknN0VuCVNa5jU1aKRtWMRwNGw47FqkIYJrS9aDwpFKquGbgmZW3g+j5KKYqi6Hu0DBhGTl8J8bwqDgC6jtBpcR23d73VLWWtaOoa3SiyNEcIRfSCq1xHWkizJstzhlFwvjqDPp8ndBrWWYkjNMPIJw4cKtUghE2YZ9RVyzq1KIslwzigbXvWZyxbkkpjbDLyvMCwLCwRYlk2k0BQtzGmbVBXDV2rcRyJ70oOwobX7ITcaCKKZYlanyIDr09xFgLDep67SylUskQOdzHESzE4JtL1eP3rX0/btlx99gaGG2AZgnJ5Co2mO5vjT1qELft/polWNSpL8fzoJVKSFaYXYLwAeBlCIEyLVim8nUsIW5IsM7qqt+tL3+1Zq6ahMwzm8wXz+QLDgN3dPS5cPCCdzbjw0MPsmBabJGG9Wp2zFrpR1JsN3qR3jnVdhyn7wM90XVCvThGipVUKodR59hDcAXUl3j10R/2xG+okxdvZvduyv12PtW3L6tpNvuu7vgvTNLly5QrAOfv5pzl3MoA+nfC5aRo+8YlP8IlPfIJf/MVfZHd3l7e+9a088sgj/I2/8TdYr9d86EMf4o/+6I++yAB9vszLtcFDX6T6cgFQEAS8613vYjqd8u53v5vj42MeeeSRV0xcffjYNToEb33HX2CNoI2HqKJivVyxWJ7geja2tLCEAYbBjadusXNx0p+MLIEpLcq8YnW2YjAd4HgOjucw2B2SrXOkI7epwxbRICSKIu7bv48sz5kv57ihi+3aSNehyDKC6bC3WncdqqpZzzdkusM0PJalRSsli0yTrmuW6xOC0OlTpTtNXTbYxpDNWhFGFmhAdxgI0mzF+om+jywaRjhOzxD4UUOyqbAtsy/31IoLB7vI+13SpKaqFK50qaqaIs0xzYKj24o4yrdlqf3rE0U2zzy1YDg02NmbEmzza/b2J+h2A3SU+VYIaYJhSIQoOT5SWHYvZE7THNuy2N0fsF50VEWNIyUYfdlmPPSpa81wGLEzHSJEh2EKsqzAFIqzVcUDD0y5eHEXc8tWhKGPMNcIWsYjB7k/JB6EGMB8vub27YTxyKEsCzxP47genuex2hREkc900jN7q9UaL3KhM3qdVBjhBL11vK4VvjK5ZProzqTABaVp8hrMhlZL0qrmmcOCCxdCyLfhcZ0gyU1OTkpcWzOZBiRKAy1dZ9IKh5NVQdMqRCfwlGa+WtAZkGaKLLHwg4y2LrGly2Sk0LojqzWLBKLOYLHIqYoK34WOjnlSI4UgCByKomW1zGh1i2tbXK9KsuwKoS+xLYu8rCmKHAHcmld0enUOVrquY5UWdE3DSSXwvQRnC4g7DMpSo4uUm2mLZc1YJX0IoSMtTCGo0oTTZYYwTCzTvOukosqcm2c5e4FgKmya7Ymut+u7HK1b9NkRlmlQVzWnlo1jW9RKcZqZDESG0Wlcz0fpHE2fjn1WGOz7Jp0wMe0Iw3XJW82ma3ltWHM7lZimTbNeghFRnCwxHQNnNMQw+wqJrlEYQt5TG6Qb1QOY4Q5vePNbqGvF1StX0J3uKyWEAA1yfAEhTLJ1ga7OcAdeH49Ql1he+JLsT71ZIQeTl6zcoOswPR/TdhDSoWsiKlWT3ZxjdH3xaV9PoTGEIB4MuHjpIleefJIbjz1GfHCR6cEFhoMBFy9cQDUN69WKk9u3qGx5zuAYhoGxZZcMy0aVJZ1hsj5JkF5OMIrOu9S0UlRpSrj7UtUXCmHLT7E6W/LOv/SXeNvb3sb73/9+1us10F883FndA6/YluFTzcvNADo9PeXXf/3X+fVf/3Vs2+bNb34zjzzyCG95y1u+CIA+XyaKos/6d/psE/WywcqlS5d43/vex82bN3nPe95zfkXywhygz3WOHrvCY47DVzzyVqTn4oQ+TuiTzVd0dJiDENPuO6qQOdeeneEFLtK2EHR0um/cLrOSeBIjHdnbPmxBMktJ0xQ/9Jnu7nDffffxxCef4PqV60z2Rzies9X9+NS1osrK3hFk2zhbRml2OO/ZlNhjsjdm7/4DwvGQs9unuONh3+uVVgzGU2gFy0zTnBS4roehTRrlkKQGybIkTTumSpCsC1xP0uqWZKWYnYm+xDWMGAxjNpuU+WLNcCAZjWOUapCOxXg4IpeKxbzPWXEcB1va1FVDEDbkuTwPdwRwXcl46nL1mSXjoWAy6Ws4aqXwZM3R0RrTbLEdidG1hHHEOA4QJGySCtdzsG2LNM0xupbRyCVJGvb2BGHgkWU5ju3g2BbSMUjTgjQt8IM+aLF3iNlcubLmwoWInWF0zlxNJgNqBbbocKQJOsTzXXTX0rY1p2cpYeBi2za+Z+N6A8LQxz9dI4RgOIwxTcFisWI6HbCzM+HsrORgzycI3d7+rTtmZ3OaOqHtJEEoGQyjbRClwWaT0hktnmPzwAMHmKY4r57I84InnjxiFGj2dnZwPUlZ9ALi1XrN4UkCjSaMBkymI3y/d8gpO2GeKQwEzmiEv7PHaBRSVQrlLSmaGn/oo+0K3/Fw3ADHdUivnXBSNBS2i9EJitrAkhHe0KPZ1MyFwdAL6Lr+M5gZLTqe0CqDM0wGjt/31TtQdDlyApbXkUub1hB0jQYEwjRZmZLMFWRejO09bw1gQK5MMlOR+R7xaExNL+oPPB+vacnSQ/zxgOFoAAZo3VChUa0kUzUIwe50SBQF/YoPsFRDsSypmhLHbJF+gB/3n6+pMWCYNVy9doHlZgPVFLwYo9uKkmcJui2wI58mT5CDCdyL/WkUJh1vePObKcuSa9eunQO7Tmu0qrGDIZYb9LlB0kW7AaptyG8d06k1wd4+XaPo4C4R9Lk26B5AoWtbmjK/O816a9cX2zTr7KSkNTrKfEYwiZjs7nL/5cs8e+0as5MThGXT6o6z01POTk8RQhBFEWEYcN/+Pvdfvp9GmGw2G1ar1XOrKK3RdYO7O+1BiFKsTxMMvcQfR32shCVf8nFXSYKMohdlJUEP+t6yu8eXXbjAD/3QD72ov+v55aZd152DoFeLHXolMoCUUnz0ox/lox/9KADf9m3f9go8sj+d+YIGQC+3tbYvKPzsAdDb3/52vu/7vo//9J/+E7/8y7981xXiKw2AAA4fu8JBavPBxQph29ieiz+KKTYZVZpjT4Z4gwgZ+Di+x+Z0TjAcYLt9/02dl8zOlmxUgm2bGHR0+w6+7XD1iVu85UvfSOwP+MRHP8F61QOr2dGC4XSA40lMyyQehcyPF9jSJhgECFMgXclod8TZrVPiQczDDz3EV7z1K1guFtwaxFx57ArxOMb3x3huQDAIqIqKfN3gxi7SsUnXKWNrTDCNaEsDcyDBMEnqmqrWzFcpV6/lHBzscf+DHsvH53S6pSwa5mcFvrfC9XrBbDwIsWXF0e0UQYYX9tbzulLozqDrBKtV2mcSbR0hhmHgyIaitDg48PC2J+qeJTK5fn1BGPTJz57ba35MS7BcVgRB0ddz1BW27TAaB0SxpiwUQnRYtiBNUmxbMBlGdJ1LtxUFl0WNsAyUanCkpmu5K1tHOpIwtLny9Bn7ez4HB7tIaVPXCiFMimzB6dEJlrSxbQfX6z8DYehw6zAlDAqEKWhVjXQ84jhCGCvyQjEeD9jb3eXk5AzXNbmwv8dsXlDlGbVj0Si7T7ztOnZ2YtK0z1C6w5wBWJZgd8enqTXj8QDvTp9X15EkA2p1m65JiXwHV/bPy/OcPjH7KKVpSgLfIYp8wsBlNIyIQp+TRcMwaHCdAiFG7O9PqcoSaRscHSVMRjaqrjBbA+m5jEYhcVBT1JrdqY9lWaxWKXFg4gcBeV5TqYb9SYi1dYl5bsfOxKdpOoyuYxA5qKavRdlkOSIwcR0L3zfZmbjI57mDHKvDoCEOPfZ2QixT4PsBQgjOzubsjU0MIh68PMWyTFTT9gxlpajLE9KsxTQtfE/iOr3zr+s6bMvk5pFmHFrsTofYzwvcC+2Wfc7w4zHO5f+NRlisVytW6zVZ6tI1NU26pt4k0JkI06LbVmYYwqTTLbYBD3/FV5KXNTdu3qJXjvXTMzhLnOHe+erMECam4yE6TddMqFcd+QbKzSneMMRyXYRt02H0rrPopUXZKk3wpgd3ibL7MTCEgRONsKIh0OHKgPsnl3j8Qx8mLXKqZLPVHT13itNas16vmZ8ck52eML78EJP9PUajEZcv30dZlqxWK85u30QFvWVfmCamdDAdF61qsk1KcXaKPw5xqgpT6xc10jdlhfOCxOrtK8bFgwu8oW348R//8U9ZT3HnfXPnHPFCduizLfF+qXmlazDgiyLoz5u5U1PwatdhGIbBt33bt/FX/+pf5V/+y3/JH/3RH33Ox/xMRinF0PL48H/4r+y+9Y34gwgn7NkHpRrK64dEkyFO6GG7DvHumGS2YnSwgwxcnMDDCTw2J3Ms38cJXOzpGCfwedh9O11n8t//+GMoVdPVClWUqLxgOd8QDQKCqO/KcTzJ7WvHTC9MCAf9FawtLcb7Y649fYOyKtm/sMdwOOSh1zxM6MWcHRZYss8XqsuiD1WkYn5U40Y20hYMhkPkvkO6SjE6GE0jhClYzldYQlCPWoLAI6lXmJbElCbSC8n1muN1zkB4xJ5PnQpULWlNm5OZxlqX/V686Yta23bN6dGK/YsrJpMYYfZVHKDJNorFYsOw687dRkHo4nkmXQdRGPbrkaJEdxrTrLl6NWM4tInjgHgYMRwOWK02XHn6jL09H8eRqEYhHYfxeMTJyYr1MmM4jvC8PpdHty2e77JOWsZpTjx47kun6zps2dA2vR5JCIHrOttEasFjj95mMKgJA5+6LFjWffmlY2uWywTHsRCGSRD4WJaJF3isEw2GYLVakyQbPC/g4CAmitecnm7QLRg0LFcryqrGli6uJ0jTAm9rn++6jqKocB2LVdWv2e4AoD4WwWU68jk500RhhCWsc9u7NkxQKbNVjnd5B9e1adpm+0/Rqoz5vGY6ifCDHmBoaTMaRqw3LZ5rYBkCA9GD1UbRNIrThSJ0DIKwF8I6rkcc+QjDYHHS0TQtrivJsrIXb0d9AOTt05LRUDCOfOq6QakWAwNPa87mOY7da54cx+5LOA3NIPbJG0nbasajIcA27bvFlybrWtK0LVL2azVHWnhuy3KVMssEomko04yytLBsG0daaK1JS8Xe0L4L/ABYpsFud8gHPnKN4cXXMpruMBwOubBdBS3nM85uXiU1bQxLUs9StC6R4yFCOrhS8ubXvYbb65ST+equY/e1GDXCdjHuaatv0U2FnFxA2C5d21BVFflygXQElicp18tPUbmx1QbdsxesQSVrrHCI5XpMp1MuXbzIo088wXqlqRZrdLXBdPy+SX4LZM6PrRpkGKPahpPjY06OjzFNkzgeEPour7vvMuqhh6k7wWq96vvK6HOFOq0xbJ/WHLE83GCZLeHO4LlGeqWQ0YtTpQ0DLl+4yKBp+P/86D89X3t9NvN8dujOa9Z13efEDr3SNRjwRQD0eTWmad71xvpMpqqqzxisuK7L937v9/Lwww/zgz/4g1y/fv0lj/npuss+29G6X+dQNTz2X36X1/7vX8dwMEZbNk1bURU16yu3cd3eGSZdie06nFy9xXB/ghP4WLZFMBmQzdcIy8SSFnuXLuAGAY9+9OMkm4x4OsCeyH6NkBVsTheYho3uTCg1TaEpOpOrTx/i+RLf93DcvlXdtCxuXj2kSAswDLrOIPJ2sCyb0WhANAxodUue5jR1y+GzxzgbwWg6xpn6CNPAizzWpxlpmmOZAtM0uPzQ/Rgd3L4+w6C3DmNo6qqmMzQdAtfzmewMEWYvho0nHqe3l6i6YDgK8QMfy7bJk5zZ2YqTecqmKCnKDkO3+G4MouOpp5dEgxJ/y5wVeU5RVKhaMBrXvT1daZRqqIqS49snbFaSy/dfIo4GLBYrWtUQRgYnJymeL/CkuX2dJKNxwOGtjCE9aFgtN9DB3iQmLzXLVYFl99olpRRaN4wGEXlhkOcFUfTcOsY0BYOBiev57O5OaZuWqla0rQJd8fiTR+zveFy4ePF8rTYcRFim5Ph4gWG0CKPDD3p3Xxj6LFcVriuRUpKlBZaw8R2LLC+4dj2l6zSjUUzTtDSqJgojXE+T5jVB0GBtTxZZ1jM2Yegjpc1wGPZMSFlTlhWqLDk9SxkMA4LAw3Uk9vZ525Zmtm4IghbPayjLHvxNp2O6zuDoeEUgYRIOCUOXslIIs2CUrpjPV6zXKaZlMJ30eVmuKwn9mrJWWFUvljdtG8+VvdBbKqqtM62uFY4UxIMRwoBcrWkqRZ0XVEVJUtRYBoRRSJN3mJaEriPLM6q6QSmFF/g0pnnudjv/XqgVoWdxYScmCExcV6JUL8JVJSw3JVK0fW/ZCxxYAA+HJX4YUbeas9mMs9kMYYg+jFNavPGh+2mdmFJpFvMZy9kZdZ5h1wX3v3aPp5+5wrLSmI5/lxuqaxvqdI0djM6DEZ8/XaNoixLLH/crLMumsx2E9GhUTXF6BE1NU+ZggLD6gETDMHpmab1ExvcObNSqRm8zjnZ3drl0+RJPP/0MWVUhHB8rGNCYHkVuka9meAMP2/d65kl3VJt1z9A8jzlt25blcsHZYU4+nzN94CEmO7vs7e3x4AMPkuUZq8WS05vXaca7WEEEOkY3NZtZTqdWuKFNlawJdvfveq0MAx588EFEq/nP//oXXhb4edFr8DxtUNu25yDos72gd133FW2Chy8CoM+reT6t+JnOZ7oC293d5X3vex+bzYZ3vetdJEnykvetqgrTNLFt+xVNBr0D1nStePLXfpNLf+at3P81X4kMQmQY0pQF2WyGKX06W9LplsqsuHX1uG9f9+T5OqtOCuxGsDyZ8/SVZzAsgRv6bOZrhntjpOdgOzG2Y7M+XuBFAi/0MIYhwWRAkeRszla4YUjrOuRaUylBmhWcfPImju0wGVxGD1osu2Mxv81gJBnvDLFsG8/z2NkfsTwraFVLmiSUZYFlSUxHc+vKgvGuzd6FA1zPRTU1472A5WlJMDAxsMjTEmnbRMOO2UmC2LrHpLR7sbdvkqw14x2Xnb0JhmEwngwY7wy5/eyCrssZyA7TtvB8Sdt0bFYVna2QA4eyUBi0RGGEUi1H84RB22IKi7bpWKUtdaNRaxitGh5dPUtVK2zZh92dzTbEoeDCwS6GaVHkJbrrsGzFrZszPM/EFOBue8eqKmN+VmGiGI6HrNcpljAYT4Y4aUWSlnheX6h6J/E5igOy1KBtWqI4JNiu1xrV4dszknVOOS5YLASDOMR3PSDj9tGSUcS55gn69dRk7LFclfiewvclE2+4BSUpyWbOerGia1vSvMI2Bbu7AVp33LidEIcVUWRR1YqqqvD8AM+HxabG9xtcV+LIvth0EAc0jUFTNmTrhNK2eybEsbFtF2m3FHmOHnrUqi+YNegb31cbRbDrcHDQOz89VxH6HgYGT1yZE9glvudSlyVLrbFtG8+C2UbTqgyDFsfztrlKgmFksljXuE4vqjdME9/r06zvP2hZrnrHWlZUNEWJNgVd0BK5FqerErRCSpuiqKFtiIIAV7ZssoZQNduARU1Z1ziuy54DadExim1C3+01U5scY5v7c7RSOHJDHHo4ss/kqlWDZ8Gbdg0eSxvYnvB1p1ktl8zyNTfalnh6wHA8YXdvn4cefg1lkaOrguNrj3Fy+whsA2sw7i3dlo1hWn2oYtP267IXMji6pa0rrHB4F4NjCIEh+vdNYwjMwWWqwiRfnOH4EjnogxR1XUNn3NuSr1vaqsQKRxxcvMSlS5d46qmnzmuYurZB5RnOaA9TOmgVUTcN+dEcy+6QnkVT17j3sLb3uqMCGQ0oasXtw0NuHx72rs7BgMBxeMtrX0uOpGzbPpdovUHJvvC1SNZUmxbDXPeOL9vGkjYPPvwaXCn52P/4H9z8+Mc/16/0e84dBuiFjNCnY4eklK84A/RFG/zn0bwcO/tnsq76ki/5Et797nfzgQ98gF/8xV/8tBTlnTeh4zivKACq6/oubdGtP/4w65u3ufxVb8MdD3HjAG84Jp0t8ScD3DAgvngBVRQkZzNM1wfHYbIzZX845tlrtxgNIm4+fRPXc7YN4x2n124T74xxAxfDFISTmMXJkrFh4Ece0nMwbQthmhSbFDfwcCIfe/vYanvQBySOXZRjojqD2hasbhUczQuEITC0JvRC4lFA14DKNTgdpdqw2ayp65rZSYAhZsSDAOlIpCMJBorlaY7r96sOe5vjtDhdsVkWQIftSKq8ojM0g6lPVRiURYXn9//PjivxI5Oz2w37l4aMJ8Mto6HoOs3sOKeuK3xPEgQh4+mARrWcHiZ4nkk0DMjSAmHb7F98DYZpk69TXAdcbdO0iiRJaUk4ngmCkUSbiq4TtNqgyCqOj9d0WjEejoniPt9GdwZN23Dt2hlcPcGyIIx8ppMxZVWzXDXopiGMAtbrDU2jkNLB8zWnpysweqZE6w5hGkynAxZLRataPMuia1tu3bpNVbeYomaTwMGBPD/p9asrh9u317SqZjwe9y617dpNCMHt20uyJO8txdLq7dyGwJEtm6zE9RzyrIBO4wc+hjCYL9W2SLZfC9V1TRxHxIOY45PeaWUi0HWNAvI0p8gTmsZnVFa42zqQjo66rrBIWa0VaZrhuQ62lHiejxAWZ4sKG5PJuA8BVEpR1hlV0zJfFjRZy+7uEM997oTsOpK6bVius15w7nnn+jApbartRZXrSIh8XNcjDENW6zXXbyxpd33iyO9jCqTE9xwKoyZbtVSVQtoWRdlb7x2nZ9tmSUlZK2Jp4To98BuEPmEQcHNek25SRNuSSYkpDMqywvU93n7J4JOPKoT93PeAbmpUssQb7lFWNcdHRxwfHTGeTHjwgQdYbJbc99Dr2HnozSSbDavFGYuTm3SOjekFNEWCFQw/hX5nhRztv8hWf2e9ZdguVjA41wy1rSI922DoDCE0VjDgXjyGVoo63XD/m76ci5cu8eSTT5Ll2fmxu0YhTHmuYzIdDyF1b3GvCtYnhxg0yDyHruv1O6a1DYNVVEmCt7N/F6hTSjGbzTjKUqpNyvS+hxhPp1y6eAnnIYckSVjMZ5zeaMC6j862WZ9lCL3izY98CUbT8Ojjj3Py2GPwp2Bzf/655vns0L1cZV9kgL7A5+UIjz/dCuybvumb+I7v+A5+9md/lt/5nd/5jI8J/RvyztXMKzH3Wq0lhyc89qu/zv4jX8no4YdBN6AFy+szpL/CH/fC6GA8otqkXDi4wIXLl7l1dETjS7QfUNsOpuvT2jZNXVHnDZtnDnF8B8eVWLLPnjm+eshod4QXe1i2je3YKNdhcbwgiP3e6rxzH91EUG8aHL8XSRsG2I6FqheszzLCacBgZ4IbBrRtR5JsMAqIXJfWMLFcSa1Ksjxn+egtgsjH9z0830brmvVygyNNdvYnOF6f5zOYxOi2r2Soypyua/paCc8lSwpOjxU7e6P+BJ0WmBbEowCjs/sUa99Ft/2ascyPWZyuYOrjew7JOsOyTfxQsFw0dKRgaEbDCePpkOViRbI0GYWSeBCQbHKEYeDakqJsaVWNYXq40sKWFmEEuhNsNpL9+13CwN6KJA28WHL96grXbfFcD8ttOVseUauWPK+58qxPENx5v5q4riBPC5K8YrZIiQcRRZqj6gLHdQgCm6YRlFXDfLGiLCs2yYY0ydikLY5tsrM7wnHkeUmtYZScnOaEUe+uA7Y9ZQ62tGjbkigKCUK/ry9pFIZWXLueUuUFUpp4nn/u+pqOJeukxg8UZVGh2wbP83FdSV5oTLNjMo6xbMnt22dkSYprC86WCa7U7OwMcbf1L03TEkQ+WW6S5QWGAVQVwjCo6pZBYJJXQ3Z3xli2oChK0izHKhSuXnI2y/E8B8eRuE5fi+I4NsMAFvOC6cjD9577jHmuzTCuWCUljtURhhGXLuxSViVVaTOJXKqsYp4XNFoTxRG127M+sV9T1g1eoymrvpHd8ySmEAz9irJuCLddau3WjRpHHqaZUpc1pmXSqYZVllGrFj8MuC9SRJYi120vbu40XVNjOd5d+p3xeMwD99/PM089wfGzTyGDAYPpPsPRiAde8yZe87o3sVrOWR5e4yzdoEMLXT3HCvXrl94ZJlz/pSs38jVWEJ//jiFdjM5B2C5NvqGY38YqVuhG44S9hV5YNmxByv2vfT0Hly7x5BNPkhf5XcdWadKnXz9vdWYYAmPLbmPY2MMD6sogXy6RrsAbRuesluX6L1Hn0aDSDMuPSPOc7OZNbt68ies4DIbDvq/sS7+ERAsK1bKczxjFMW0LH/zv/xOtC04/+ejL+Ab/3OcOINJav8hm/0UN0Bf4vJxai5dagVmWxfd8z/fw1re+lR/5kR/hqaee+oyP2XXdq6IDeiEDdD5ty/H//CNW165w6au/Bnc4QTiaplXMnl0jwwbbFrzxDW/AweCP/+sHEIFktLuD8B2EsMhXKeHuCG8wxA1DyjSjmK+QQUzn2DRdR6tNbt6aY1smrrO1k+uGuijJzgrGe3vYou2b5Ucm5arCccCSkqZqkI6DHmnqoqVpappGYlo24SAmW6UsFxvGOwO8yYiptKnLms1ZQtvmGNJknqSURUFdNLDRlCpjtRG9VkhAkdesZ2vCGIbjAdJ16Zq+Qf329SV5liKlRBgdbuAz2RuyWdTkaYE17Cs0DGEwGPioWhN4PbvQ6ZaqVLRtS1FmJM/W3P/gAdEgoKoKpGMxmEiWC4UwCpqmIYw8dvcm5GnB4c2EyquwTKiSkiytMG2TeGAjjL5/7Y4dWkqbbLcgXTccXJoSxwFaa8qyZjlPePbKnFavGI1jRuMRYeQhhM9ivum7ptyMhhJHC+KRg4Hg+DhBscL3fcqmICtzmg5Mq+Ppq7c4OlvieH1tSF0ryiylUh3Xb61YJQ2mYfTVA6JjtV6xXGx48L5d3G3xq2o6Og2dynj66WMGg4DReERV1Vvhect8mYOuMQyNECZ+AG2rkXbH6aJmODQoy5xGlQwHcb8q69asFhm20EjHpShroCWOQkxTU5XqvNNMNX3BatMqylKxWK7Y2RkTRSGDOGaTZiRZTlIYCA11kVMXJaYtkY7dpzEnFePhc+wP9GsH3zV54nbN/Ts208mQqq6o65oo8rmgO64fZriiXwlKNEmS9GxEqzjOQBgZulFIp4+mAAg9i8NFR+QryqrPyPHcPmU78CSrHHa3lTRZUWMJA4kmLyreGLT88RxMLwLdopIFTjQ919js7Oxw+fJlnrnyDIuzU3SrMEybNE3PL8gcx+lfm+kBBxfuQxuCbLNglmzIG9Hb6LuOOlliR9OX0AbVdHWFiCZ3sSyGYcA2V0iOD7AcH91p0rM1hlHhDocYBhxMBkz2LvDMlasU5d1VDLpRtKrCtib3EFb3wEzGI+wgBgyE7IMhN7OErjrDoMYdT4B7JFo3iqYocMPhXT8vq4ri+JgmT3myrplefoDxZMrr3vBGDGGwWi4ZX3oNx08+RvlZ9Du+WvN8uYfneXzVV30Vf/Inf/KK2ewNw3hVysJfrfmCB0Avxwp/rxXYaDTive99L0IIfuAHfuDTWhzvNZ+NuPqzOeanAlXl2SnP/Or/SXT/Qwweei0yijE9HwE89ODryWp44vCIRvmU15e0ucnF4SXydQFtQ7W5SbQ3xvY9LEfijQck8yXD/Slymz3kRiHrkzOUdNCWwLZGuLFDMUuYz2uy/AzHSbFNE90q5ocnBCMbN/Bx/QB/MKRMMopVDWRI10ZVNUVeYHUWVVZj+y2mYWN5En/qUy4sbNkSXYqoyn5NlacJq9MMS1eEUUQDNK0NkWSRgIgkqnbpVEvTCrTRcO2ZNaZQfbv9QOGHJW3TsjjV7F8ucBy5LQs1GE8jsnXLYCQIIw+lGvK8RBgtwnBINimG0acjS2nj+y7ppub0dEkYO0RhiO+725Z3QZkpTGGRFTlaK6Rto03Ns1eXtG3LZDLAtERfqCpNGk/QtO25DiAIvF5nUpXMTzOk3QO5bLPCdiTSsSgrE7qWC/s7OI7DcDSgrGra9oSy1HiBDZ1DGO0QxwFlUfPssyvigcB3bfKypKPEcS0s06LRmnBg4Dg2Xdfn/riBwKl9cE2UZaA1tJ2FFUYYMmN5sqazDDpTcbqY9QF9hklZlBzNKnynFxhvyrJnbzoDbTh88slj6rrC6FriQYTbdGDYbLISISqEKEnTBCFMhkNN1ShuJA0PXKzwfZc8LyjyAsd28NyOZ28tqaoa27YQpiDLa3zX4eH7d7EtA1v2j6koUlSrWK1yqkqxTgriMO8jAOhFr1WtMEVLi0eRF7T6uROPMAW1UtiWYjoeI2WvgVKFQpUFq1VFmbRMYw/P82nbfm3R5ylpVuu8T+Y2+8DFVmtsWyAE5GWFbZu4NkRhhCNNDFHxlmHG7z+6QQ936CwDOn0OUPb297lw4QJPPfUUm/WKpsqQ0eRF662qqsiTNeXyiGB0wGi6QxhMeXh6EdfqWK7nHM3mqK4DQ7y4jV63tFWOFY0xzHsFI9Y06RI53Md0/T4Hx+7t+lVWcXnqMXQ9nnjsUVrT2q65xHPHLsu7coPuPraiTlbYg53nLPuyD1cU0qFJbYr5MU2b0JQKdxgjLPs860dXFXY0fImqkIZ63Qc6JmnG7t4+RVlw8+ZNwjBkOt3lLzy4j/tVb+LRRx/lgx/8IM8888yrHnL4qSYIAn70R3+U2WzGf/yP//EVC2H0PO8e9v//584XPAAKguCzVs6/EKi89rWv5Qd/8Af52Mc+xs/8zM+8bA3Pq9E0/5IM0AsmuX6V5PpV/MsPc//bvoZL9z/M0bXbHB7dxHYt7CDAG4ypK02eKQxniLBt2rpmdnOOaeeYtoFl9q/l6dVbxLujXuMjDGzXIZ9lxKMpXjwhmozpLhnksxVtUdJJQUlLlTVUumJ+PSUaNsRDC1d2gIVqFOo0Rdgdlgme79O0DUe3TgizDfF4hOv3661KZ5xeXzHeH7B/6ULPJKmWeLAgW2SUWdY7Z9DE4zHGxIQG3LB3wzVNixFYaGmgyhZvEtFJi7VS1GVDlhccfSRFyn7NE4chnm9S1DXPXimZTD28wCYvasaTIetVxvHthLqqcIOevRHCJssSlrOMh7wp/nZNZZoCP3RJk4Zkk+P5FrE13q5/KlS95vR4Qdso2rajoyEIIqLYZHZa48iSMOyB/R1wFPgB8SAkivxtd5qirUtWszNuZy0PPrTPgw9dpm00tmUxGkdcv7ZiMVvje5Iw8AgCD89z6IA8bRmMPFgK6MB1HTo0J6clWVYQhh6WZdE2LXsHU3b2OpIEAt/D9Ry6DuqyputGSEcyncYMhxFKqb6/ra2ZzxSrTcnO7g73P9TnGVm2jed6HB4ec/VqymTgEw0GRFFAR4fftGh3Sad7zW/oRpjCpjMFTZORqpxnTxXDoUtZCCAgckOqqmZZ5NTzjiCwKcuaNEkxxbbHrGmZDl2GowmirFmeztjkNVle8tT1DSfrjtD3kLaFZVtUNQjL5+pxyTLvzhOlDfr+tXVasGhaDKfBlQIwaRsoG0lZJJyuN6RpzboCadlIx8IUfXbUU2cpoQODOKZqi/6gXUdbl1xdK2xDIy1BREvVAIZF7Ake2Blwknfk80MM6dL6Bft7u+xOxjz5xBPked6DkCLF9u4uRYUti9LW2I5PJ0xW6w2r9YauA9+V+NLkIIp4/YV9UsNinlekeUmlGgzR12K0+QY5OnhRv1bXdT3rZLsYz09ntmwMW3LxoYfx2oJPPPkMVVkgRIMzHGLK/vauaVDpBne8d+9yUqX6oMZ7gCNDCDDA3bmEKV10q0jOEkS3xBuFYBiUiznu9MJLFJ/WdLrXE73mNa/BsiyefPJJ2rZls15TJ2t+5//+//Llb3kLb3/72/nhH/5htNZ8+MMf5oMf/CAf/ehHybLs035Hv1LjeR4/8iM/wnq95p//839+DnpeGMJ457z42bBDLzdb73/VfBEAvQzFelEU5zUaX//1X893f/d38+///b/n137t1z6nx/JqhCF+tmu1tz14kb/5v38Vv/gf/388fmuGM9qhroDFDOE4+K5NuSxZ3TzGHQY4YYgzntLkGapWiEHcN46LiqNnTjEN8OMx4WCC53iUqULrU1RZ4PgBhoDW0KisQfom0WRMOJ7SVCXVMqc0SjrTAmFQ1x1FUmGaBjs7e7SmQ55nNF3N/DAjWaRIzwLDwECjhcFmVuC4S8JBiDBN/GHQn2AL8D2B7UiELSiygjQv0KcNg0m0DZkTjPemqKojDCXRNmunKiuWp3OOb53Smi127GCEDo1lYcqIdFVwtFLYeUfoB2yWNbrxaY2Ok9MGz6kRwiAvZmhdoduOq1dmVJViMAyxZV+Y2bYFt2+uuHh5wMWLcZ8C7fU1IbeuJ2xWOYbZp8W6TgO6wzRrVkujzxKqG+qqxA98/MBgMatxHUkQ9mBmtUwIIrdvvbZsZmdn6K7Xofm+x2jssFp1WJYkjiO6ri849X2H5TJltUyQUjANxwS+R1XXNGrF7HSDJTpUC51WxIMBg2FIXiR9DtC2KLSoKqS0ObgwZL3umEwEg8EIrTVFUaJqzd5OjaE7qrJASkng+7S63bJbJtJ1Obiwe9cKynUdnr5yysgT7O1cZDiM+1VkUTE4mTE729DpCs818MOQyXSEZZrMF2t0q5mMQzabnMnYJYwihBAcHi8JPIMwtghjG9cXiIf3EUJw4+YSx6rxXJvW6BvUB2ZAmha0uWY4dYjj/num6zo2m4xdAYtNS7QzIgz7NXxHh9aazpPUNz0mBxFB4KDbhk4ItN2vt9JEMR6HjA4m/WdtO11ccnJ9wdBtCMcDwui5k9EoDnhb2/Kf/2eJ40Q4/phL0z12I5eP/MkfUht9W31TZTjR+N76nUa9aHUGPeNVVDXJJqNanhKM9hgMhkxij9c9eIGl6linGatZifYH92ZR2r6PzI7GiOexQ4Zh8OCDD2Ibmsf/5EPgj3C9uH8sWUk5P8UKXMT2dedetvlGobKtaPsezJNWNXW6wZ0cYDouXecgZJ8VVeQ19eo2RqewVYVhmnczT9uyV2c04XVveCOWZfHUU089p7tpFOn1p0iWS37v936P3/u930MIwetf/3oeeeQRvu3bvo1/9I/+EU888cR5seiNGzfu8c38yozruvzoj/4oaZreBX5eOM8nBJ7PDj0/f+he8/nkAIMvAqCXVYdRliV7e3v8nb/zd/i6r/s6fuInfoKPvwL2xldjBfaZMkBCCL7zO7+Tv/gX/yI/9VM/xSc/+cnz26xwhD3cw3Qc9HDM/GhGsanJFhmdPsQO+mZ3dEUx2+BPxrjxmGjXRVcKA5NGSNy9CWbdOy3ymwmGsUKIDkGL7jTSlET7A8KdHZwwxHJSylkGbYZhCwzTIJzESEOidIs2WvyDMe7egHS5Yn1zhtHWWIaJKUwEsCnWrJcZ4cAnGvogNHWZUyWKaBSyM4hxXAfPDZHWmuXJksNkheNK3CAkHsa0Xks6L7GsnCAO+5qPYcie0ZGvajzf71c+aEzLxPEtknlJNJJYnk0wDaCDIvWZn6TYsYmBgSlBtBF0sJonpNeWBIHCtvq+oboqaWo4Oapp1AbPt5C2gWWBLRuODhOmE4/ByO/Bjq6oVMXR4YZkk+B6Nq4rGY5CLNOiKhPSbS2J1pqmabiwv8t9l22ObmYgOmzbIksSFvM561VGmnRE4R6+72FaJko1mJZFlGTcurHhYD9mMu3Tkp2tHkWpFXmu6LoWIdiWiBZYVsPRkcL1+syoPglbEoY+bbshzys8z8U0BU2jCSMXae8zXzYIw8aVkvnZKarVJEmB67ZkRUfbtncBIMeRSFP3K7x9D9M0MU0TKSWWZZFmmk6nuJ6H71rURU5j2Vim4HRZ4zoltgXS71mpO1fCp2cZU9OkqmroFK4TMRgEvWOraJmMenZtvd6QZAmB72LaDU3TO+Vsu0/kbuoad2/KeNIhbYM4fq7eIssKpuMI03LZG3vEg4BGtZSVom1qmqIg9AxMy8QPHLyt0w4gCFxWm74W42B/jOM8BzSGg5aqWfKffn+FE+3x2te/hTAKeOzRT0IFlAvKOkN1Cn9yaSsYNu464emmxjTv3RnWtQ1tkeFEE7Bc1lnFKsm4dvOYwHWIPHhoHFEfXESZkqwoWW+Sc7Zcqxro7mJoDMPg4YceRto2j330f6ItH9uW/QrLkgjpYroBbZWRnd3ClBaWF8E2I+jOsXTTs51W9OJ05q7TdK3C8qLz+99hnrDsXpdkBRiWS7asMEnwRgOE7J1m/fMueP1bvgLblneBnzt/e/HE3ecGrTWPP/44jz/+OL/0S7/EdDrlkUce4W1vext//a//9fNi0Q9+8IN84hOfeMXa4l3X5Ud+5EcoioKf/Mmf/Kw2FXeA0p16jjsA6IXs0OeTABq+CIAYDAYvK1L8y7/8y1mtVrznPe/h+Pj4FXks/6sYIM/z+P7v/34ODg54z3vew9HR0V23N+mSJu01TcpxeMOfexsfOT4B6WC5AboAwzLB8FCdRXJSUq6W2K6LZVtos0Mdzyk2S2zpIEwLbQuassEJfSzfRwiTusw4vblhdVbi2HYfUKgKmlWFO3AZDEcEwyF5lpAuV1iZiRqEmLbdJxfvxeiiI9qL8IKAdpucmy5WnKzXnGUbbNvCMh2szqGcVWw2hwRhsG1I7+hEB5VJI1qsyCDd9BS/RnF0PSMcpriBRBiC6d4uzViRLkrMyEI6kjIvkaZFPJLcvnrG7qURpjXsi2NHEYYwOL25wh8YTHcmBFGIMAWr+YqzWxv82ASjo8hKLNvBsyyytEO2GkxJ2RmoRLHcdKQ1tMuO1jQxDUHTQFNbZGnC0dGMOLaZTEeUhcJxJUo1HB/WVEXVVwk4NtJ2adoazJpWWcSxT9P0PWyWKQgCxbVnjqmrisl0RBD4uJ5L4AUM4gYp5V1VHJ7vsjP1ePbZJTtTj+EgBqNf+4iupS5TblyvcVwLz3EIR33oYRQ5HB7m+F6BLW2qqsQyJaP9kMFIYQpnm3DtkC83qCrHwCAvCo6Oztjbm5zb7quqxvMMFsvuRToGz3MYDGwWM3HeNVaWNU2joFWgM25cXzKdxhwcPNdg3qdoF6zXKUKAaUt83z1vk58tM4YDB89zqCoLx5nieg6r5ZLrhyssUzMcRRRFBVoThCFO23J0khMF9fZYmrLsQeF04jBfK/xA4/turxdLC1ynYBg0rJOa+WyJH4R9arTTxwV4smOTm+gXfKWZpoktNK+9YGGMHiCMIp568kl0J7CcoGddOrCbGr2cU1d5b1M3eyDR6ZY6W+IE99bY6KamLTNs97nVmWHaYNpkdctqtaJ55lnCeMBoOmKwd8DBww9QNZrNesP8dooRjs9daUIIHn74YWzb5vFPfpxieYY72rvLVm8IE1P2ukHTi5HBkDbvqBYnWL6HHYYgzG3lxkuzWvVmiR3fW7SNbuk6kOEQw+yLY4uspJ2fIT0byxa89o1vwnacHvzo54Ofhmoxozw7fPFxnzez2Yzf+I3f4Dd+4zeQUvKWt7yFRx55hL/39/4ew+GQT3ziE+eA6Ozs7FMe66XGdV1++Id/mLqu+Wf/7J99TlErLxXCCPyprvJeifmCB0BxHH9W97/vvvv41m/9Vrqu473vfe8rmqHwv0IDtLe3x/ve9z4WiwXvfe97P+0bWGvNN/y5r+Tf/exPnxe5Iiyc6WWcaILlR5iOpM5yDNEhLInpexiA2JhYRortOliOxJQWbdHQmArbM3GiAbWwqNYZddtgSgtMm84WWE2AKi1mR0l/tawl2WbD+myOHdi4noctXQxHkJ1kGPuCaDLCDXuAxMkZumlwggB3uxqo84pkXdE6BVne0nUNbSdo0bilhJXGD4L+S7JSzOenHN8uGU4ipvt7GIaJMA0MqdnMC6Jxh+e5BL7HarUhnoRkmxJhLpGO23dx5QXaKMkTm9HExtoyF8PxENO02MxSLNkSDSIsy8ayTSyZspqX2I5NFIcoUTPai4nGEcVG48Q2wfY5NU2D9gyKm5rOkWjH4SytaNclbQN5UnL7ZMne3phhbDOfL8HoKPOKo8OU0bLEsg20rpHS6XNC8g2nx4tedG6ZlFWDKcAQFkURoFvwA4+2UaimoWlbDKOmw2MwDBFC0DQNZemhqo4rV06YTB3EdEyW9Q44R9rEkUmSFFhWCfRp06PxgCwtefrpY/YPQoLA7wGcESOlZLVOODteYokOLwgAg7Is8P0Ay4YiL89ZJYCyrBGio9V9RYjnuXieS9M0VJXHapVzeDYjcC2yNKeuFNKROI7NeCS5eWvGdCgZj8fnx/Q8h0sXhuRFw2q1xug6hsM+xVsYY8paIM2WtqzJkhwwCIIO2zaR0qQoazzPIc8r2kYhnT7McL1JqKr6PBm6aVqCwCEMQ47OCtAdtIoiq8jyjDTrmQJbyh4EPi+3qKoUpoC/8Pb7+IObDk8+8cRdvVJ0HV1b48Y7CGGhW4Var1FNhRHGdHR0qr23s0u36LrEDob3BEfohrZMceNdtO0wW5ScnD5J1+QMdndw4pg3PnwfyhlQNrDerNnZ2UEIwZNPPI4qckw3uGflhm4VbZHixFNMN4ROIxyfrlWUsw2tSui0wp1eeBGrBdtCVkPcu9hUt7R1iR0OEbbTr70sGyH7CBBdF9w/HkCpePzjHwOrF2bfqcHQTc3qiY/e41v0paeuaz784Q/z4Q9/mJ/7uZ/j0qVLPPLII3z1V3813/Vd38Xt27fPwdATTzzxGQmVHcfhh37oh2jblp/4iZ94xRilO/N8BuibvumbXtFjv9rzBQ+ARqPRZ3zfr/qqr+J7v/d7+fCHP8zOzs4rHiD1ma6rPpv5VAzQm9/8Zt773vfygQ98gH/zb/7NZ/RhapqmbxL3/ecAkG6oTq9RnV47v58VTHDG+9jBEDOvsKSFYUBtmoiywnYdhOuB1hjLFEM32E6fnGpLk071X1ReEDCY7tDWJSenJ9C0WNJGSIvWdWk6kybTaC1wGoNO17SqYP3YDDe6heW7WLaNGwV02tiezBxM20Y6LrpbMj9a4McSfzggGo6QrkOR5eSbms5qkL5DnbZ4+wd0y4SiNTg+SzFOM0zDxNCauqzINg6DkY9hgRf4CFOwPssosoZOK+oyoVY1GBqlWpbzvoHd8RyEKTBtk0qV6M5g98KUMApoVINl2+h2xXK2Id1sME2B6wXEowhpV5S5JojA9RySTUM88HDdC9SZYLrrIZ0+HqCuFHPRZx01XYV2aqTTd0i5IwtjkTJfJTheb2W1bJO6MzBch+W8JK9ydNuRJimGMPA8j7qec+OWy8WDXYbjCN02aN3heZLFrEbaZ4Shj2EYCGFg2xaeb9DUHSaCLElJkw7LslF1zbXbKfu7Drt7u0yn/cpCdy2DoUWyKalrhdaqD0WMQ3zfoyzOaBRo1QOQVreE0QDbEhyd5viBSxD0bqo8L/Bdj0uXXNK0Igj6RGbLstC6YzgM2dmd9vEYHdRlSV2VZKZNlmWs1ylx0DNH0IOHOI7pupSPfOwa47hjMplgSxutNVKaDGPJ7eOE0NN4UhKGfXxAVSlsoTiZtbiOTVlWGMLE9/q+vsnQZpPVBH5D12mUqjBNyWAQ9LqbsiEMfFqtWSwTmqJAWBaOWXN4onp7fOBiGAZFWTOdDPGChl/9n89Q1w5C3OnH0jRNieWGmHYP1E3bwbRdZKto6oxsddg3vdc1dF3PDJnPnejrdIU3Orh38GGrEIaJsORzje62S9d6JIuc02tXud41jO57DcODC1w+uIjlOKRZxmgQM1seod3wnrUYXaPQVYkRjHpgY/SsUNc5GJaDkVo02YZ6sUBXJVYYn6/HOq1pigQ7fAltUKNQyRpn/IJqC2FiuzaXH7gfo8p48sYRbQO6OEUGDjIKMYRJk2esrjz+ab9TP9XcunWLW7du8au/+qv4vs+Xf/mX87a3vY33vOc9WJbFRz7yET70oQ/x4Q9/mM1m86Lfl1Ly/ve/n67r+Kf/9J++4uDn+fPt3/7t/PRP//SrdvxXY77gAdB4PP609zEMg7/21/4af+Wv/BX+xb/4FzRNw3d+53e+4o/l1ShErev6nsf8hm/4Bv7u3/27/MIv/AL/9b/+18/4eF3XUdf1p12rNdmcJps/9wPDxhlfwInGmEHcr63MNaZpICxr24DdYStBpW2EbWIXGsdoma9uUXcKhKYpC0gaZOzjhhFOGIHSdEqjI7ffTxcuuZqzPFxj2wme7xP4fW9X3mY4gY0X93ZN0wAZO5RJg+NVKFfSVds9t92xOV3jhhLpu4ThiMHeDvWqRFga13NodEO22WBkHafLnHlZMpxOsGsFrUFVC+pVTqczbAm2ZeOHHp0uuXXlmHSzJopjMERP5VtQlwatatFaY0ubgezZiptPH4PRa08cx6Iqc9q2I89KOFV4nqQTGst2iIcuySYn2yjcXYfBKCbPClzXYX66YjEvCKsCy4Km67CkjRc4LOcpA9fl4OIUKfuwxeHYZzFIKLMSSxqM91yk0+uINusNs+MVtluxKV2qsn+/hVFIJzqSrKLWgla15HlBsk7Ic00lOszTHNe1UapB64yqyljMVqQbF+mGaH1Mh8YwDBqlePb6kjCA8WiI57JNlDaYTFw2mwZpNwjDwDAllgClKuo65fZhw4X9HWrV0LY1jusRWBY3bi6Ii/L8eWZZjm0LLl4YkWYa33MwTYuqqqmqkiLNkaJlscwZDTfEg5DRcIjWmrousa2WugbPu/uz4boS3WnKsmA8GuA6Vu+2EyajOKSsSm4fzc/73+50sDmu5HheUZQlWnd0nT6vNXFcyclSMYxafN/Fc0pMI8L1JElScPN0jWe3VHUEGDhS0hkm0mz48gcF/+2TNUL24mutalS2xB3snYMiAGFafUO8bnGsAOmP6LKCqj5D+CHCD8Aw0XWO9AcvoQ1S/erMH74gnNDAsPq8LGEI/HAfnSl2jI7y5CZXTmfEwxG+6/K2t38leeeQ5gXr9Yo0TfsQUN3SljkyGCHMu/+2YRgYdOi6wB3uImzZF+DON7RdhRyN6LRG5RlmMLyHNqhPlTadFzNPQpg89OADtNmSp2+dYLgRVqfpHP880bqr11Tzm3TNKwc48jznD//wD/nDP/xDDMPgNa95DY888gjf/M3fzD/8h/+QZ5555pwdunr1KlJK3ve+92GaJj/2Yz/2igcePn/e+c538ku/9Euv2vFfrfmCB0CTyeRT3u66Lt/3fd/HAw88wA/+4A9y48YN3vSmN70qYU+vhgaorxB4bs0nhOBv/+2/zdd93dfx4z/+43eJnT/TUUp99oGNnaKaX6eaP1cGa40OcOMdLNfHciOEXVN0GyzbwvFc7EHMaXlGU1YIUyB9H9MOEUZHk3ZUdYVyGoQNdV2gjwusuL8Ci/b3CXc0bdFieoLWEnQGVMmG2fEcbrTYrk0YxLhejDVoKTaKTqfYgUurVN+8neWIuWB0cZfxroclJd2gI5/ldKJGSovhZEId1ATDmnpT0WkFjoXpmriuT71UJKcFg0FMMB3RCZOurDFKi5OjgtOjM6BB0OGHAZZlcOXxgt2LEfGwd6QVWY7paMpUsLPn4vt+X8VBgxvU3Lh6QhibDMYjRhMHYQiCwGOepn3NBCBtiUKxczDGDQqaSmEYFtCRpSlpkiGslsWsYjTqHVp3BMRh3HB6lDIcGewd7BJsnUtlMSQMV+RpQds02FJgOwIpDbRWpBvFeMdmMIxYrw2mexa669isC3RbMxzbmJaDqhVnZxA2FlpZzBaHnM37XB9D2HQa1smC2ayjqg02aQP0LGFd1SyWGw51SxQHjEYDirJF6w7ahitPH7JaLOg6Aykl050xrusgbc3h0YK27QXhWZpiSwfPc9kkGzabjPF4gLctPLVtizCMWK1LlvM5nudycjIDNEVR4bsmmwyaRvP8j4dtW3iyY7FQ7O1Y5+LkttUUZYvQBatljrcX98GTVYNlGjiOxTi2Wa5zXBts6T7XweY6DPySslLorqPTDVHkM4gDQt9DtaDbmk61aGCVlwjLJPQdvuwBk//2iXKrfey27E+EsF783aNbhSoS3MEulhPQdRrbDdCtoprPqNuKpq3xxhfotAZDvCBAsMZodV92eg8BcqtKpD/Ei8e87vWvp8gzrj39FG2Vc3T9GqqreXa8z3j/EpOdPR5++GEMQ7Ber5mdHDKfH2KE03vb6hu11Qm5CEvSWc+5u9qspFwdgrToVE1rGOf1GfA8bVB0dyGrECave91rKbOExz/6EazhPmLLPBnSxNgyT01qs3r6Nz6LL8jPbrqu4+mnn+bpp5/ml3/5lxmNRrz1rW/lbW97G+94xzsoy3Lrpiz4oR/6oVcV/HzLt3wLv/Irv/KqHf/VnC94ADSdTl/ytv39ff7xP/7HLJdL3vWud50nor4aTA28+iJo3/f5gR/4AXZ3dz8n8XZZlrzzne/kv//3/87HP/7xly2oa5ZHpMvnC64NnJ0HuPDga5FYzA/PaHWDIQSmadFkCiusMB277/EpOtAdwrH6PX5rUS8UdbJERTXeMKQzNdWmRlhgexIZRhgI6qKi0y2Nb1D7FgIbZRps5jl21oLuMJoO3TjQKpZHM8osww8DTMuiKkvWZw07l4e0joMTBURySB6mtOsW2waNpspzMDqCUYChJbZlEwwitNYEw5jF4SnpcoMbRrhu36OmVEm+SllfXRIEJegOrRsc6SDouP3shjBWhJGDLQ0a1WHKjsVpgW3bCKFJNxm2bYOpOL5Vs3cBHLfvYguivm/r7CjFMk1cX1LN+lb2QWSRFzXHR3OUavD8vu+tUQ3hwCBL7z7RuJ7DZCdmtSjwLE3ox7ieg25bTLMDUXDzRs1yucZxTaIoZjodUewoTo8qghD8wGGxWLN3MOQ1r3uAdJMxnyVEcf9ZUE1NmlVEsSZNTIZTg/GkF+12XUfb2jRdw/wsx49dgqHe1oR0CMclKTNmyyWmIZCOQ1YVGIaNqlvKsmGxzum0pm1bwjDCcTRpUnB6tmG8rLAtkyRJEQa9SFxBUZkc3jylaSrKuqYs654NweTw8JTJZIghjF6onZeUZU5edKRZgWX162AAYQhME5brjMCzcGSf9yNde2sH7zg8LdgbmeyGIe12TW0YBr5ncXiSEfslnmsTbNdyrivZGQfMFg5h6JOkCXVZEwWSKi8QuuaBUc2zSwGGoM5WeIPdu9ifO6Obmq5VCLMvPTUME4SJsJy+cytboduUbjWnLgus8PnCaY0qEmR47+BD3dQ06YpwcpE3vPFNlFXF9Ru3MKW3BUwgVmcYyxXzZMPi5AjTcQnjAYPhmOlwwAP/29dQdhZJkrJar8/X8l3b0GRrpD84/9uGYZwLs7sODMPCcSd0q4xKz7HiAabrYlg2raoA4y5WS5gmr3vd62jqmmcefxThxS/SPPWvETSbM5rNnD+tWS6X/PZv/za//du/jed5/NiP/RiTSR+T8PM///M8+uij5+zQC00un8t84zd+I7/6q7/6eRV++Pz5ggdAOzs79/z5l33Zl/Gud72L3/md3+Hf/tt/e5c+5tUEQMPh8BU95h1d0f7+Pu9///s5PT3lve99L3mef/pffon5yZ/8Sb72a7+W7/7u7yaKIj784Q/zx3/8x3zoQx/6HF0AHX/1L/4ZvvRLv5R/9a/+FYe3bmFHuzijXexwhCU9ujTB0A2W3TfUC0diFiZeHGKEMcIQNFWNWtbkxQYhTHSZoesK0wQvCvF3hkQ7EXVV02Y1SpSYtk1naDqnI1sleKMQf7qLGwWosiZfrEjymqRI6WqFY5lIYXH1EzcJRx6DnTFO6CIMg0JnVNcLvNgiCCP80MS0YTNfM789oypL3MBHVTWma+IEPmHoM9wbY1omTa3IBxnz2zPyKsPxHVzHwwtDQJNvKrIO6ATVuqbMW7QVY4Uty7VBnjcI0dKRIk2Dqig5O77NzoUhO/sTlGowDJCu5vaNFX5k9FqVwQA/dNmsMk5uJ6RJju4airxCNS22ZeOFFlla4nrPub+6riOIDYpEculSSBB61HUfttjUBtevnpDlHYNBjGXZzOYdlmVhOxVpIrGsBt/3oAsIfAdVV3TYuK5DGPmslylVqQjDkCBomZ2l2LZFFAe4rkNV1Vu7uM1gFDEcPefe6gGS5vqzmsuXxgxHcW9FVzVKKRZzRZqvGcSS4WjAZBLTdVCWcHi0wQ07DKPFF+C5AfEgIJ6E3Ly1wXUF0nRYnywpmg5LCqqq4onrFZNU95ZgoyNZZzRKgO1w9VZBnAgsy+xDEeua9SqnNSSLzAAbdFej6pxWN1R5ziotaGoH2x2QFmXvVmxb6rpiNluR2TV7exOE6C/QDMOgqhpaBNduHGGbGt/z6TpBWTbUheLBeMWjT8+xvKA/yYt75Oe0irrYbJ1fL14xQYdWBV6827e4t4p6vUbpChHGvUa7SMG714pJ06oKPxrxxrd8CUVRcPXqNdhWoN5hcLzRBUzbpWsbdFFRLo9Yreaszw6pVzOivQeYHlxiOBxy4cIFVNOwXq04O77NctG8JPPUaYUbTbCDIR1b91utqNendKJD02IFI+4gVdM0ee3rXvf/Z+/Pw/Uq63t//LXu+17zM+8xO2EKhElkDGzU1toe2h4PRarW2epxquMXBUHQgIgTrccOtmqtR392sNbaAfpVPOq3VbC1EgYZBCQEkpBhZ8/PuObp98faeSQSIAkJ4inv6+K62M+z173uvbP2ej7r83kPZGnGA/f/hKhXOlb/LOcJyu5R98EfHdit7xBBKcV73/te8jznne98J0EQMDk5OZTZv+51r2N+fn5YDN13332P6QX0RHjBC17At771rV/Y4geeKYD2WQBdcMEFvPrVr+Yv/uIvuPHGGx/1/h611sHahT8WDkdhFUURIyMjfOITn+B73/veo4q5g8Ge1usXv/hFjjnmGKanp3nxi1/MRRddxD333MPGjRu59dZbWTyA7BvLsrj00kuZmJjgox/9KHNzcwAk/XmS/vzw+4RVx2lNoSp1lOUis9JAzu8MkNocyirjMHTDoAgLpKGjHAtpVynygiBMiJcilEwRuUYaBmhLCUIvMGoWUtdRVZOoH6y01XN028Zq1gg7A0hjalMtTNsi8AI0S7K42KdfLGF0bbSkIA1DEm+A1TGptTJa4y00qWG7DkUW4i31GLTbFIDSTayKRRhmeL0+1UYdYyXJPGwFxLtjDMOi2qiDANAwHR1vOSy7QrZBrdXAdh3SOKE9N8CuKeyKTZEVRF6AF80ziCBZDOgM2iilkFIhMui0exS7I1qtBiMjBlHso6SGW5f0OjFRGJNlpQGaXhHEScTWzT3CIGR0okGRF0RhiOvYKKERhgm2Y2KupJVLJej3B7QXA0ZakixNGfQHCE2RZBkLuzsMBjqrVo9h2zqmZTIxWSqRuu0Y3YgptJxGvYpll8nVOx/u4/U8BDn9QsP3I5QuGJ906CynOE40JCknSYqUGrWahWGUnkNSCrI0I4oT0gTm52ZwbFFGUkQJpqlTq1eQUrJ794BaVTI6MsrYeJNKpcpg0CeKkzK81tIxdA0hJrFtg253wI6dy1QcqNY0/CCl3pBUayOYhmLHrj6TkxUqNZc8L+h0elSbJnkGnX5Oa1Udx7XLvLQ4ZX5+kWxhicDLCJIMYTkowyhHeFlGIxRlNEZtjNQ0ybMCISWVhsPC1h3sXirJz1KvEwOFDUIkTK0xGN20zOL8AsKySIUOljMkN2uaKLs/aYJw9McoYGJ03S2J01IhlYlUFmaWkEYhg84MGDpZEqLxs8TpBJn6nHjauQRBxLZt29hT/JTvx+VDi91EKgOUQWFYSMMhS2PCxXm0xCfsd9idZczNziCVQa1ep+Y6HD01wTFr1hAXgm6vT7fTGXaqh4aO9bEykBVKYraRIw2LxO8SLs+SRhnkOUalxtoTTy47Pw9tIU8ihGk/hqFjSuJ1CHbtfw7koYJSive9733UajU+9KEPDbths7Oz3HDDDdxwww1YlsWpp57K+vXrefe7343jONx5551DE8b9jXB67nOfy7/927/9Qhc/8EwBtJcRoq7rvP3tb+e0007jqquu4sEHH9znMXvUX6Zp/lQJdQhwOEZgJ5xwAmvXruWzn/0s//qv/3pI1wbYunUrW7du5atf/Srj4+NMT0/z3Oc+lze/+c1s3bqVjRs3csstt/Dwww8/5hqjo6NceeWVdDodrrjiisftIuVhl8FM9xGvCMzmFGZjHOVUELGOGASg60gh0aRAGQNMy8Z0LBAaaadPpJWjM6kbZGkGfk6qCcyqjdKqoEIGCz7eYg9haEhbR8tzTM0g8xIiqXDHR6gyStDq0Z/pEMdhKYt3FbrTJMkKOkFK1BtgZRWKWCPoRaS+jykEbq1SKtHSlCga0Nm0RG1kGcO2EEJDCkFrVYs8FCij5EVlSQaEDLo9Zh/u0RyrMDI5QZEXmLZJcxIGCxHVmo5pl+aMR65bS5okLO3oYFUVhl1GVAS+T25BPNDJbYPIMkgKQZFAmOa0Bz7RvE+1Uqa4J+2CLCvwAo/Nm/rMzi6hpEDpkmazhlSCnQ/3SJKEWr38gPf6HpatGGnVsO3SuC8vtPLDKE+RKqS9nIO2wMREkySJUUphmAohcwI/plJxUFJh2jpuWqqUFucjQBJ4IUkcoWkGSuoEocfyUo6uK6QUeIOgdA4frdHr5lSrIZWqg1QSS5QmhFOrG6AZSGRp2phECKkIo4Ruu4shbFavnqBSqRIEPlmW47oGOx7uUa2FuK5NvV7FMHQqVRfD1FlY8CkyjSJNQAMpCwqgUZckSYFplrwiw1A4TunMLWdLn6parYKmafT7HmOjNUZHGiy1I2quhm1bZFkKSUgYptSqLqbTYmK8Tq1eIcsKbMvC931qyzbdbo01q0cYHS3FHns8z0ZGKpw+k/ODAEy7TlFA1Fkk04qSFCw0Yr+H6TT2SW7O05jYW8apju3NkXkEcdrQLUy7CUFM1FkC20Y6NRAKXeScfNpZ9KKYXbt2s1fxk6Uk4QCjsnfnSdMEUjdX/l+jUluNhiJenCORgrzWZDkKWMwS0t4izVXH0BpfxejICEcfdRS+79PutFnavZNEWfsgTgtYKf6ckdUIvezonjg1RdSeZ9POGQoK4u4Sen1yn5YAeZrQf/BHcBDeck8GSikuu+wyWq0WV1999WN2+MMw5JZbbuGWW24B4JhjjuGss87ivPPO4+1vfzvbtm0bdoceK69s/fr1Q0frX3Q8UwCtFECVSoVf+ZVfYWpqiksvvfRxK+E9BZBlWU/bAkgIwRvf+Eae97znsXv37sNS/Pws5ufn+frXv87Xv/51qtUq69evZ3p6mt/5nd+h3W6zceNGNm7cuJd/xbp16/jABz7Axo0b+d//+38fRCJxTtTeSdTeOXxFuU2s5hS6W0daDomAoOggJCjLBVF+aOuGhWmBdExkVZHGMcny0ko8hkmmJFmooUUFRq5oNUcQZOzePYeazbFcC7Nig4RMRsT9BKfh4NSq6JZFmsSE3T5h3ydLM5Su0FwdabrEIUjLAMsqXat1hyLuMLtjmTxbQDdNqrVq2cnJI2a3+dTHShPCJIwxbYNKs0oSCaIgAMqYCk0T6HbB8kwbaedUm02cikOe5WXAarc0IYzDBF3F1JsNinpOvx1jmCH1Vh2pJMqQxGlIlmtUJ2s0RhpQlD5Q1qDG3I4lFnseugVmIhkkUal68wOWexG1ekyepuRZiOM46Aq2be0zOZlQqzsUOSRRgWkYLC20yQuDLEswDbN0crZ0+oMOC3Mexxw7zjFHr0ZfUWspoROHHaIgwHYUbrWBbZkkcYpl+ux4eJk8K1258zTGrVSpNByyoo/nhdi2iVSSwSAgL1JaIw36PTBMHWcl0iOOY6IgQMqI5Y5kdZCyuLiEEAIpxcoaCV4/pdGoDZVbmqZRrbi0OylZllGruCijdMjOsoQii9m2e0BWpEgpUKokq1uWSaNmsLAY4bhR2Y0KAoSmqDdrKOXR74eMuqV6sd/zCAYeWZ6Q5wEPbw846shVNBq1Fd+ljFrFYny8gSbUcN/DvxGlOGWdza33BCijjC+QukmeJaRhhO/Nk2UZhmGTp1HZvXmEbD6LI3Sj8hjE6ZQk9HCq4yiz9ObRDXdlRNZGqIJ1J53A7tk5lnv+Svjt3sTpPPKRVm2f6qw8S5C6he7U0IRCKbvctxcQBfOkWoqyqwRBwO5dO5ndvbvkt9XruI7Fs447mvDotYS5RrfbodftDQ0M8zQm8frYzUkMp8Lxxx9P4A/YsnU7IowI+vNkWo50Y/I4LLPK9vxe8pw8Dug/dNcB3sOeHKSUvPe972V0dJSrr776gGgIex5g//Ef/5FqtcqZZ57JWWedxQc/+EE2bdrEP/zDP5DnOdu3bycMQ0477TRuvvnm/yuKH3imAMKyLKSUFEXBli1b+Na3vvWEH8Kl7HXf8vIng0M1AnNdl0svvZRWq8XnP/95XvrSlx6C3R0Y+v0+3/ve9/je976HYRicdtppTE9Pc/nllwNw66230u12Of/88w9JjtojkXptBt4jC1iFNXYERnUEZWfopkUqBZEW4mkFmpQo20FK0PICTWgYlkJ3LaRtoWuKul0jERpxITFak0SDDt5cH63jlancQkcWBYOliDwucFoFulXK+Qe9Pv3lNlbdwnQrOJUqhZ2TDFJ0M8Go2yAl5mgNzYLCA7tpottmSbD1UyI/ZO6+LoYpMQwdy7QxjDppHNLvhGRpjjJ0tAKiwGdxbgnLdEqSZgG6Vcrv4yChM9/DqpTqNcMySaIEKdsMOj6IvPS/iROUJmlN1Umj8gZvu6Xyy7It0jRjaTeMj9eoj9SJw7hUUnmSzoJHx+ti2TpOtVaS0fMCrRiwayljkOdITVFkFoNuijQbLC4G9Lo+lp0ACWmSlNliUc5uQ1DkOaZpoOs6hqGjiYReN6fWEExM1EAr0I0yzyoK23QWuwi9VGAZpkUYRBiGxuJ8hO2U0vc4DJFKp95w0XWPXj/GcW2qVRfflwRByPjYGEmimJ+bxXEtpNLRdYM8z1AqZ7lfEpkfCcs2ce2Cud1dVh85xvh42X2J4wSpdEJvifmZeZyKgW1XcZwETdNWMtJCwjAkijTyPMWxXQxDx7YN5hd8wjCmXi/dw+t1B9Oy8byAmZkB8WjAXBiQ5pDECZWKwzHHNFhcCsiLHCUURZ6veCmlNBoOzzo+5/5tcTm+kjpS6mgIlDBwzAr4EVG/i3CqSNNGSJ2iKF2hndrYPonTWRqRpxFiD/dnTzSNMnCrdVaNNVjatYuZud1ouoGsNJBKLwnKmkYSeaW0/TGMD2NvGbMyMswM01QZzyF1C6Ep/PYMIvdJoghZa6LpBnmqs5gkzIUeD3htRlavZWR0gtWrV7N27bH0+306y8ss7t5O7tQwLIcTTjiBaA8xW3cAgQptTGWR9foktBHVBsIoidNFljF4+B6K5ND6wz0epJRccsklTE5O8sEPfnAo1DkY9Pt9brrpJm666SaEEKxduxbTNFlaWiIMyweZV77yldx///2cfPLJv/DjL3imAOJLX/oSWZbRbDb5yU/237TqcPF1nmwHaNWqVWzYsIHdu3dzxRVXcMwxxxzysdqBIo5jbr31Vm699VaEEJx44om89rWv5dd+7ddI05STTz6ZwWDAbbfdRr/fPww7SAkXthIuPMKo0WliNiZRbgNlmiRBjJLaChdAEkUK5YFdEaiKwXxvjijwUIZAd0ykZaLqLkWUozsWesVB6Dqp12dpecByx0cohS41ilwicoPMV6RaTiQi0DLiPKT7wDy6rTAqFna1it1sQR3wc3TbpDY6RhYndJcW6M4uEIYxsuagNSvkSpLFOn7Xw/cKqppBFob0lyOKwqbfjwk27aRat1eMGTV8z8frerTS2gqpGkzbpDU+Qnu+S+xHFFpeOndbAiEFvhewMJMwMtHAMAx8P0A3BM3xGkVRSuWbow2yNKNSc0nj3SzsamOYCss1AA3D1GmM1ekvhdiOjTIEgR8y0RpD06Cz3CeNMqpNizhK6Cx3EVKgjIxtM316cY7ruiilU2QFvXYfPwho+g3Qqji2RZ6npJlAaIJdMwPqDUm9VWfQ8+j1+hR5gedHbH6gS6ViYpqKWq1GnucopbEwH2LbknrNxfN8GvUajWaDhfklZmcyHFugFeB7fXo9jywvcGxBpzfAcayhq3eWZeRkpLm20pUrPyhM08A0y5Hrfff52LbAsU1CzyMMAoSQGHrGjh1LtJoWjm3juKXDt2VZjLRMBoMYIQYkSYRh2jQaNVrNBpVqiNdrY5o6g36fIPDxPZtqrUYYx0Shy8jICHmeMz+/hBAajUaNc8/Que+hWYQ0hplnRZGiS6v07tEERlYWTHGnTVjEFEqtjL3EMDV8D4ayeefRBYxbcTn6qDXM7XiA5UFKtb66dHL2I6J4ESwbTSmSQRujuWYfafRlHpmmiUeNr0poFBTY9XH0Fcl+FsXEnTlSQyGcCrHXxXIbeEGEv3MHO3buwDQtGo2yO3T0s0+kE4FbaxIEAVu3bKFYyRUpVrpEym1gyHJcmscxcXc3mdLRTJ3uplsP7hZ1EBBCcPHFF7N69WquuuqqQ3rvzPN8LwrIMcccwyWXXMK3v/1tPvzhDzM+Ps7/+B//g09+8pO/cAnwj8R/2QIoSRIuueQS/u7v/g4pJTt37nzigx6Bp2MB9OxnP5v3ve99/Nu//Rt//dd/TZ7nB5wGf7ghhOC8885jfHx8qFaYnp7m/PPP513vehf33Xcft9xyCxs3bmR+fv6JFzxIpH6b1H9kl0jDHFmDWRlBOjWkYWDZEVmRMLe8QC7KYkALdVTPRzj5Sg6WRtYeEPcDpKNQhol0DBLfIwtSqFqYzQZSKJIoIg5SIlkgCknqQ+hH5N0BuqWotmLcRoImBHmU0OsWWA0bwzQQhkFzahUkGkJSut1q5dhGqzrgZfiRh25bjJx4FEIKvE6P/mwPXwPPj4kGPlmckMcZoT+g10mpNeuYto5hCKIooD3Xpj7q0BxtoRs6WZohDcHyQpc49lDKQEhwKlUaoy5eJ8L3QnRdldltWU6tWUFoAiEkQlOQ54ShX3YWDNi1bQm7qjG5Zhzb3uOoLFiaHaBREosnJluYVulnND/XJhqE6GaBVBm+H2HVBU6zRhyAn3dQwi3DMDWBkZu0plzSDJRrEcc5YZiRhBndbsji3DK6rtFsjdJolqRnXUmCMGDLlgDLWqZRcyhyjSQpn37jJCYINepGBW8QEQYhujLQSHlw0wyRH9IcqWOaBkEQISgYG6/gDVLCeoS1QmwvihUuUMOgWqvQajXIspRwhWyepzGzs/PEocUxxxxJnudIWY6vHNtk63ybJA2pOGY5OjMtLNuiP/DoDXJWuXIo0LAsCy1PKeI+9/5kiYE3KNO6i4JqtU6zVcOy2hx/TMTWXQEgybOY0Gtj2y3kSodFiLJDrpRJHPbxurMUSidKC/RKfYX3U46CsjQmT2OE09yrMKpUXI5bdxxbH9rE7K55TLe1Qpw2ULqFbjqkSYS/vButyEijAVCU666MyPaYKhpu8zH4NzGJ38GuTSD18rqSuoUyymiMoL1E4bdJNVmSn2VpNRBFIbOzPlngsVXLOeWMc8myDNuyOe200+n2urSXlliYKc8tdWOlCNMpdAtl2KSRR2/7/WSD/SMRP1kIIXjPe97DEUcccciLn5/F0UcfzX333YdlWbzrXe8iCAJuvPFGvv/975eO6b/A+C9ZAAVBwPnnn8/S0hK33norz3rWsw6Yy/N0K4D++3//7/zP//k/+fznP893v/vdQ7LmoUa1WuWKK67AMAwuu+yyIc/q4Ycf5mtf+xqjo6Occ845nHPOObz+9a9nx44dQ97Q1q1bn2D1J4uCaGkH0dIOAH71V3+V1cccyb/95+34mYYyHaRprXiJaAi/T6zrCMdGaKJ0LF7IUJaOYdoo3UHInCIUZHpIYZoUZCRZSLCzg6oZmG6FytHHlH5Egxi/SIn7KRQFSX9AMhigbU/LOJDxFtXRBug5kZdg5hKzapNnKbouGWh9BrM+zUkN07WRhkFjfBTTsent6mI4OVbVRWolT8jrdekueSSxhyMc4n5EkiZkymBpqSDOImxbQwIUBgWKXVs6WJWC+spIKwxC0jhlcTYlWhViWQZJkqB0nbGpUfrLpYFlpVoSorVCY95bZBB2SDIDpzIgSzJ0Q5UE4rrOzPYOzRFBo9WkWiu5KZNSML+zV7pWpxkUOUqXOK6FLxN67Qi3YmFbFt4gADLqI3Xy1KQ1YtFsVImShDiOWVpYRrfK3+HoKoWux6AlZEgMN2Nu9wDdtkg1QZAmDCLIM0gKn60P97HMNlmWoaROYSuSOCWKYx56cBZ3tk1BQZqluK5LterS7foURUSjUYbCBkFI6JfE7Pl5H8vs4FbKQNg0FYDANQraSx7NRps4itF1HcsqbQeUTOl3PWrVSeq1KqZp4Q08dF1hWYrldhfH1mm1GlQqDnGcQKHRbi/Sa3fptbtkRUGz1UJIsEydX33eFPY9OlGcMz+7A5LgUdweTdMoVq5ztz6JruzyevYDoniAZtlIwyIKutj23s7M1WqVdevWsXXLZnZu2YRVHd2LOK2JckSW5xlCU7iVccglUXueXAhUtY4mjBVX5QL5GNL2NA3QrcqjidPKINdKL7FqfQohDeLlJVIKZLWOMEyKPKcIexx/xjRBFLFlZRrgOi71Rp2RZp11q09n0cvxo4Rup/Qc0oQAzUBkCf3t9x6qm9HjQgjBRRddxNFHH81VV121zwiMQ4U1a9YMi589sG2bF77whbzwhS88bOd9qvBfsgCyLItXv/rVvOpVr8J1XQzDeFoUQAezphCCN73pTfzSL/0S11xzzaPGePsTW/FUYGpqiquuuopt27bxx3/8x/vMpFlcXOSb3/wm3/zmN3Fdl7POOovp6WkuvPBC+v3+sBi67777Dqn9wCNhGAYXX3wxRx55JB/60Icelb6s3CZmcwq90kCZLtrAR2iU0R7KIM0K0lRD2XnpQZQnsDxAChC6hpCyNEprh2Rpik2B5bhoVYPEhzwr0AyJPlJHVG0iP2AQpqRhxGChj8oFWRSR+iGOJRkZa5GR4bg1DMMm7oZ0snmUWcaCpFFCgk/aEbSOqFIbKbPv3EaNgdth0PYJCJBKQzd0KrUqSZgSpwVORaFsmziMKEggj4liQSgqxKEk6yakcYQ/6DO7ax7D0mi2GjRHa1TqGoiY2a0x2eqUkdEROp0uiJzR8VG8Tozn+WhajowEBQK/H5DhEwalkmoPLNukMW6z++EO1YZGo9XEsgyyLCdPfRbaXRZ2p/S6PlmaYJom9aZN6Mfs3tlGI6dSq2CZFo1mA6V0Bp2MWkPDNMsojjRLiJOE5oiF34d6vaBWs5Gq5LjUmwa7dnbI05hK1aJWr2LoiqIoGO0Jdu3wcGtl2KqWlu7kUZaQayHbdkkmkxCpJJ1lj6woMA2TIBrw4NaAarWKEIIkyfAGHnEiyPNSgm9bCUWRIiQUlKTdQT+j3qjT7Xr4wcLKGAqiaMCOHYscsaaJZdkMBqUSyLYtJiaqzM4soRsFptKJvAG7owCEROURWx7sYNkjTIxWOeqIowFFp9uh0+ng+z5FUXJ70miAU5lA7emwKAvDcMmyhLCzSBp7pMIqiddSp9FssW7dOh7eto25mV3lg8RjEKezOMCpjqNbZait0q3hiMwP5kjzELM+SZ5naHm2lwdPGefRKT2J9mnoGFFkMbpbpsIr3SbPE/IoJuzuRtMFx594EgNvwMzsItqKL5LneQz6PWK/g2GYjK46gmZrhKmpKdIkpdPt0F5cYG7+IcL2roO+7+wvhBC8613v4thjj+XKK6+k2+0+8UEHicnJSe6///5f+C7P4+G/ZAGkaRpvfvObh19blnXAF9Lh6gAdSLHiui6XXXYZzWaTyy67bJ8joziOyydHpQ7a8OrJ4tnPfjaXX3453/rWt/jbv/3boRT38eB5Ht///vf5/ve/j67rnHrqqUxPT3PppZcihOD2229n48aN3HHHHYfM5r1er7NhwwbSNOWKK67YZ1s59dqkjyRY6y5OYxy90kC6tZV8pT5CK1BCIE2FtEyQCploWLUaynLJs4LAC4m6PaTqI5RGnoUUWYKUErtVpzIyQnVsgsjzyfohhVaQqIKsKJC6QRzD9vlFrFYNM7NRmiJXIAYpUTdAaDm5lpDmKRqC+a27iTwft1FDmQa6bSIGPmmcYDs1nKpLXgDCx+96dBe7mE6IECVBt1I7kjhM0YWG0yjdpJMworOwzNLuBcKiwNM0sjBjKfQhhTzXYK5gx/ZtZFmCY9u4FQtpFnQXI4oMDEMx6A9I84QsSVlcKBAyZ2S0ieWUwaBQoKmUwC8DXu0Vnx/HtRFSMru9i+F3sCwdpQSBH5MXGVGS0u31KSgY9H0gp1qt4roakadRqxnohsTzfAa9kMwu6HU69Ls5UpbhrbqhY+gK2xLMzMSMjNRoNCrDS8CyDTQh6HYCxifq2JaDbiriOKXf67N7ZkCahRSapFIrqNXq1BoVOu0+C3MRzVGwbJ1eJ8J0wDTrxFFC4BeMjilAEQYxS0sdNBFSqSvm20v0gv4KcVmS5zC/3GMQBswtm6QMSmH5yp+aN/DZvejhGIKx8QrtXkGSBBR5iud7jLtd7n5ght2Gi1MbZ3RkjHqjzgknnECe5ywtzrMwuw1RjJa+PCsQQq4UHBqgUautQgiDuLtEc7TFmlUjbN50L0tLiwT+Em5tYp+hpnkWl9L3+sSQ+yOVsfLfii+Wv4wIAuJggHBqKLP0LdKEIE0CdPNxVGmRh7nCSypzyHQE5QhLNy3Wrhmh1/PZtv0+sN0yfX5lRJanManfQxmTLC21WVpqI4RGtVqj3qizamKMFz7rlxmsn+Duu+/mtttu228/nQOBpmm8853v5IQTTjjsxc/Y2BibNm0qR6b/F+OQFkBLS0usX7+e733vexx99NEA3HPPPbzhDW/gwQcf5M1vfjOf+MQnhu3Lp/q9x8LBVLiHqwDS9fKG9kRKtKmpKTZs2MCuXbu4/PLLHzOZfk9xYJrmz6UA2hO6+rOjuQNBkiRDo67Pfe5zrFu3junpaX73d3+Xiy++mLvuuotbbrllqCw7GOwhEj7wwAP82Z/92f7HeyQe/sJWeESjSDot3NE1SKeBjHS0sAx81LScsFtGVEi7NGzM8wLNj1GOXaZxmwZJnpEthvidWSzTRCqNNIvJlkNkRdEYGUW3bHzfI/MyEj9EKAWmSWpLwtQj8QPspotba+GYJknfw293GGyZR8hFdFn67AhdQ2iSJEzI3TIUVQiXPMtp71pG9Do4tQpOxcUwBUrXCLox0hA4NRc0QaVZxXIcwkGC5UhMxyozo5SgSAt2bdlFrqWMToxjNasUmkBLTNK8z2InRciUNNHQchOlXMJwwJYHFpmd6a144uRoWkaW52SxYmmxMzQq1ISGaRnoVtk9cyoOjmOR56WJnRARWzd71Js9HFenUqmidEUcJ/T9AdqywcREyXep1jQs26BSd9m9vUccpQihkXoxS36M74eYhiCOy9iMPU7YUpauzu1lH8uuMbmqUobpFgWuayGEYvfOHo4LlmVSFGWArWkZVGsZoJFnBUoX2HadRrOK74fM7PQwTYNGo4o3CDAtiWW5pGnOlgfncR2BbSs0oRFGMaOjOo3GKGg2Y5NWmTlWFBQUtNs5BSZCWKw+uoFSkqKANE0Y9ANSTeOuH/2E2EjQNMHuKGBuTqGkQaVWxTYla48+BmXUCeOETqdDt9MhTpIVaXqMrtuYVilNHxubZPXqVWzb/BC7d28jySKU7ZIXOXmWogk5vC/v8f2xVrozP4uiyEnjALc+iZAmRZGSZ9nQtwjDIvE6OI1VjyJOw09l9WIfsnpDNzny6KMIBsvML5cdqDxLiDpLZEWOcKvkWYw0nL3iPPK8oNvt0l5eJGzPcNum73DOOefwq7/6q7ztbW9j27Zt3Hrrrdx+++08+OCD+/XQ93jQNI13vOMdnHjiiVx55ZWHpcDag5GRETZt2rRXhuT/rThkBdDi4iIXXHDBiqNniSiKuOCCC/jN3/xNvvrVr3LRRRfxl3/5l7zhDW94yt97PBwMi/1wFUBQFiuPF1Vx2mmncdlll/Gd73yHL3/5y487DtozajIM40nGVBwYNE3jda97Heedd95Bh67uC3mes2nTJjZt2sRf//Vfs2bNGs455xx+/dd/nbe//e1s2rRpOCrb36yzZz3rWVxxxRV861vf4itf+cqTvlll/jK97cs/fUEaWI0pzMYoyq4SSYXWK+X3UjdRukCFOdJJsCsu0jRJlaDwQ+IwLoNVdZ0iU1RCh3AxwZNlmKsUNpHn4bdn0EwNfYU4LGxF6hWk1RzTsqg2GlgjTbz5JdL+gEwvjR8RGqTQnxuwtBjgVCvoUpImCTkFaa/AMBMyI2OQ98p8pzxm1wPLWBWJU3exqxWaE02iWkB/3kfWFLV6jTzNmJ+dQzmSqJeVnjVxijANbNdBGTpLDy9SyITmyAhurboiYw9ZnmuTxwmDDKIoKQsq3SBLcjr3d6g3YtyKC1lGGPilqWOqYZoxhm6gaQVJkgMaYdil93DE6FiNIhckcYph6RgGLMyGSNFByII0zRkdbdJo1rAMF/IUy5H0ewPSJEApiV4pmNnVoSBjZKReJslTgJbTbJkUuSJNMwyjVH+ZpkG9XmFht4ehC0Za9bJjEUUUlIXDQw8NaDYV9VoZI6JpGrZt0hqJ6XVjdD0gCENqtTrNZp2B5zExWUfKHNO0iMKY0BuApmHZDt1uRBya1OuVlbDYBMPQGR1rMRhoKCWp1X7awXJdhzRLWL9+HZsfzBBIwsEyWZ4inTpB0CUK2uxyRqjVR2k0m4yMjHDUirngwvxu5na30awqQuqMtEY46uij2PLQFvwww7Yb5N0Z9KQg6cyTmha6VRuSp7M0IkuCsnjal/Iri9GEhlTmivRdp1AFSjfJkojAW0aLI5LBcpm/tjJ+E1KtdH8G+4zzMAyDtcccRW9hJw/PLJQjbU1DrDha53mpaPM6s0i3SmY6FEPy9B5H65jlzbfS37WL6667juuuu27op7N+/XouuOAC4jgemgveeeedj/mw+ljQNI23ve1tnHLKKWzYsOGwFj+NRoP777+fZrN52M7xdIJWPNm7/QrOO+88LrjgAt7znvewdetWjj76aK6//nre+MY3snPnThzH4a677uKd73wn//Ef//GUv/d4OOecc7jtttsO6IPvHe94B+12m7/7u797sr+6IYQQ/PM//zNveMMbHvMif+ELX8jrX/96/uIv/oLvfe97+7XuP/7jP/LOd75zGC9xuGGaJhdffDFHHHEEH/vYx5iZmXlKzttsNjnnnHOYnp7m2c9+NjMzM8Ni6KGHHtrnMb/yK7/C29/+dr7whS88JWaRe2BUxzEaY+hOE2U55c1ayyDLEEphWBZSVyhdx7Qs9KpFtdUiyzMG7S5FUobCKt0kz1LSwEcUObplYldclK6RpQGJH2LU7FIZpAzyIkErJBXDpjrZLD1yQp9Bu0N39yKFliENo3RS1k00DfJ+guEodKFDnhF5A7zuMkWcUG25tCbH0C0DpRRZmqBSG7uuSPKyO6AbJnEY0p/zcJsGpmuUCkU/wu8PSD2NqWPHaI61hk/ooR+wsLONUKXpo1ImUgrCMKC32CnjHmouWZZSFBmmYZMXBUE3oj5qYxomeZLj9z2WFxYJvYRqxcJ1TNAypNJKcUCeE/oe1YbJ2FgTw9QRUhAFCb12zvi4gTJK/xxNaKRZyvzsMnGUMTLqonSF70UIVWAoC9/TGB23qDfK4iPPczrtAcuLyyShwbHHj2Ga+jArzfMDtjy4C03CqlXjtEYamIaObuiEYcSuHQNsJ2d8ooVl2ghRhrx2OwPm50Km1lQI/YiBN0BXBoapWF7u4vsFU1Mt3IqD74cILceybbxBjKZpjI81SqPIPKfT7hOEAe3llL/+mxmU7lAUGXleqtL6g3myIsOpTaLM8loVQqHrOtVqBcvQaNZrCKNCmma4rsuDDz5It9slz1NCr42SOrpyKMhLL5/YI8lDNNMhiX0sp4Fh1x/F38nSCL83h+WOoJuPHsekSYDX3o3tNhFCJ00CosRD2C7SqpCnCYnXxmlODV2koSx+Tjj+BOZmd7DtgfuwamOPCjYtipzY75FFPrrplu7XiQdOFWm7FEDit3n4X/9/PNLJ+pGQUnLiiSeyfv161q9fz+TkJPfee++wO7Q/D2lvfetbOeOMM7jyyisPKF7oQFGtVtm8eTMTExOH7RxPNxyyDtDnP/951q5dy3ve857ha3fddRfnnnvusMNy6qmnct999/1c3ns8VCqVJ/yen8Xh6ADleU6SJPtcV0rJm9/8Zp7znOdw9dVXs2nTpv1ed08g6lOBVqvFhg0bCIKAyy+//EkZcx0o2u023/72t/n2t7+N4zicccYZTE9P8+EPf5ggCIby+nvvvZc0TXn5y1/OhRdeyLXXXstddz217q1xf574ERlnaAp7dA1mbRxp2RRxjjAUhZB4yqMWuISLPZIiRwoBWobWy9ErFtK2kdUaWl5QxDmJppMJHZRJWHTxdvYoSDBMA9OxMWyL2PPpdXpUx2u4jTputQZZTtLzSEWBbtsYjoXQBJEKSXsxolE+hUtbw607JH6AH2Rk3QjZTyDLqZg2QX+O4IEOTs1lbHIMWVdIpTAbOuEgBa0gTVLiJCqz2nRY3LVMlqZU6lWUrlMA0sjpL8ZUjqrQGh8pR0pJBdMwWdjVZtDtYZgK3TAw3XKvAoEUOm7VIYtjHC1lpDpFnBX0+ynumFmS07McUcDMrhkWZrq0ohp+GiJlhi4l5Dm97oCt2zxcVzA2NsbISA3Lsmi2NGZnuvR7AXGckiQRuqHjuAVRFLPlIcmaI1JqdRfPC4iCgErFJZSUoyyzVHVZlkFBQatVYWEuRqIRhyFxGCKkREiJVCFxYpLEOaaZURRlgWg7JpYds7TQxbQE9Xo5OkvTDA1Bv9fBH/hEQUAYRZimjWU7GIZkYSGiUglLw0cvJEljXMfBcQrWHe+y5aGk5N5InbgoEJrAcVqIQiPqzVEIie40yFKFP1gm8Jap1Cc5Zu3xjI2NkaYpxx17HL1+j7nZHSz4iyhVRa4UGIU0UMoiyxKiqEcceMRphoZWFt0rHRwoyJIVk8Z9cHuKPCONAiyniW5WEUKWDtFZhSJPCToLhEEf3amRZwloGkIqLNPmhBNOYGlxjq0P3IPhNB5XVu9Ux1CGQ55nGFmFPEuJ2kvEiUd71308VvEDpSfUvffey7333stf/dVfMTk5yfr16zn77LP5n//zfzI7O8ttt93Gbbfdxv333/8o6sNb3vIWzjzzTDZs2HBYix/XdfnJT37yX6r4gUNYAK1du/ZRr/V6PY455pjh15qmIaWk3W4/5e89XkvvkXlg+4swDA95cjvsW7ZeqVR43/veR7Va5bLLLnuUMml/1nwqlGBr165lw4YN3HHHHXzuc5/7uZGuAXzf5wc/+AE/+MEPStv/U05henqaiy66CMuy6Pf7OI7DNddcwwMPPPXBhY9CkRIsbCNY2DZ8Sdl1JtaexBHHncjcQpu+7yEAYegIw0CTCpnEmH0NZSYoXZCT4w+6CKWVIbCGid5sQZIhDR1RdcmEIA0D4m6HxZlFdF2gTB2nWsG0DSxlYiiJ0CQFoGkFQdanvWURt2lTa41SGRtBGYqw75N6IUbFwDJ0/J5HEHUJVDlqSvs+ZlIgCoGWgN8LyGdLPotbqWBXSnuAgddjbvs8XrOPBqRZjpISq2rg9xMs18dxHXRDp9ZsEIYxSzt9LMeh2qiXpndZTEHKwoyP5g0YsXSUYVCtVxFCo6sGxIA11sJ2bWZ3zTMyPoJTrRD1MoRZYJgamibQhESlisQvEBUX2XDoFTldL0AIHa3i0F6OcByJphVkaCwshgR+zGDgs7jQw3Fs8jzFdW1GRyqkecLWhzyCIKJSsUmSlP7AxzAMJlbpJKmGjaAA4ighSTzyNGdxqQ1FglJjWJaBEKJ0A7c1tj7YZ9VUldZIOTrTdUVrtA5CsLxYkpyl0DENReh5ZIVGngcsLpZj8zAMEULiVhzyPOc50y02P7Bj6Picxj6OO4phVlbWt8nyhCwKCcIucZ5gug1GR0Zp1mvcf//9eJ6HbVnlz92ssGbVc9GETrfbG6rKNE1RFBlZGlGrldL0PE2IvHlyoaE7dSgKAq+NW983cTpLI+Kgh/sI5dceUnZRFJh5Th4GWMImbS8RiwJ3ZIKjjzyWxcU5tm15EA2BVOZjh70+Iu5DCAlCIlSBJhV5N6W/44kfsB+J2dlZvvGNb/CNb3wDy7I4/fTTWb9+PZdddhlKKX70ox9x++2386Mf/YiXv/zlnH322Ye982PbNvfeey+rV68+bOd4uuKwqsCUUo/6MLdWgvqe6vcerwCq1+sHzPvYkwh/qPGz665evZoNGzawfft2Pv7xjx/w/Biemg7QOeecw8UXX8zXvvY1rrvuusN6rgNFmqbceeed3HnnnXz5y1/mQx/6EKOjo/T7fT72sY9x9913DxPsD+d8/UBx7lnP5rWvfS1f/OIX2Xpr6TBrNqfKLpFdRbdtEqERFDlCKxVnyl4ZUSCQAx/dTjFcG00K8jAi9QJUxUToBtKtUkhB5CcUUicQijjXyXoB2kKKZShsx8I0dKpOA+IOUSeiKxZJkhBllCOyOI3QBxppQ0O6JqOVo8jzDH95gEaOpkATGlGekRo5UZwjLAdG6iSqlJKT6XhLXTrb+0CKLmXZ3dEVadxl0GtTH2liWgZJHJMmEVbNQWg6SpWjwixLkcpA+AukDy/RHXOoj40SrXjpGK5OvhBQOAPmen3iJKDWqDM6adBe6EGWYVomRV7QH/QptBS3bhP6GmmaUW+6qBVZfFbkLC92kIXJkceswqmU0u3QD9g9M8/uh5cIsgDdkKR6QTsqx4FekbFjboAzyPH7fmmFYDulKnDQx+2EVCsuFJBlgjAOCfwBD28dEPo+lmNh6OWIrN/3SDOffk9Rb0QkSVoqnDQNTYN2u0+joVg1OY5lmsRJQpKkmEbBru1L9Hs9LNug2WwgNA1l6EytdjjqKJsdO+PSWTsNcKzqsMCQykBikEkT0MBf4oiRMY5e1eDOO39IlGoIoRhkKd3uItuDHpXaOK2RMRqNxlBVtry8zMLcDuLYxjDclYIrR1dl0ZhEPl5/kUJq5Yg3KQvPIfcmK7/HchpIua/uUEoW+1TqU0jdwTCrGEqw9sij6e7ewQNbNpOlEWZtbJ/9mzyNiQdLOPuQ1WuaBkVOe9ePgYO34wjDkJtvvpmbb74ZTdM47rjjWL9+PS960Yt497vfTZZlfP3rXz/kk4ZHwrIs7r77bo466qjDdo6nMw5rAdRqtR5Ffu33+xiG8ZS/93io1+sH+qMdlhEY7N0BOv3007nsssv4P//n/+y3fHxfmJmZ4b3vfS+33HILN998M/fcc88h7c5ceOGFvPKVr+RTn/oUN9988yFb91BjfHycK6+8krm5Oa666irCMGRqaopzzjmHF7zgBbz1rW9l8+bNwwT7XbsOv6/HY+GlL30pL3nJS/jEJz6x13guas8QtR/BqZIGZnM1VmMUZbokQYrSjTLOQkmkryHaOtK2kFKUUQLLYOhg2C5WtYpqQhGlFElBIXI0yyRJQ7xOD9EBo+Zg15vYk0dhJBkyiAl7IUUekCUBjqWY85dJHo6pT4xQGxtFmQbuSJWgHZBGKZrIgAzLtTFsncTPiTwf1ahjWCa6ZZKTk2QJdqNOpVFHaBpJFJH1Bsws9pjr+shCohU5tuliWiZB38fzIuqNCpajkyURDtC3dfIQzDBGZimJBqnQ8Qjw7lkiH7eojY7gVp0ywLRuszzrl9EVSsPUdZRQuFXJoNNncXaJPE0xVhyd4yiiWrMJfUEYRSijDBy1XYujjl6NoSyyJMStOOiGIIpD8iIHCtoLMYgBTkPHdWq4NZc8zVle7pFEGXZTlmn0vk8RG0w1xpjZ2aMXhIRZTpZmDAYhcZRS5IK+B4OwjArRNBCaRuCH9DodvL6JEDaVSoIuBUJqGLpBni8zt7tLo1mlKKDfH2DoBkVRcNqpNg89uJsk9bGdFnIfsRNFkZHEA9YdfyarJtew6b6fkAc5RewTZhGFlCSxh1sZJ89heWmZ5aWSpFypVHBsg2OOnuKYtceRpNDtdOl0OySxQFLuQwqFbTUogoCov4QwHZRdQQhFmiWk0QCjOlGaEe61t4IsjSmyFCHLjpnlVDnhhBNYXFxkZncXS7MIk4C0t0SRxCinOiRlo2lkcYhh1vYtq88z4qDP8o4fH4K/9J/uefPmzWzevBnDMGg2m9xwww0cf/zx/K//9b/odrtD3tCPf/zj/VepPgbKbp7OHXfcwXHHHXeIfopfPBzWAujss8/mC1/4wvDrbdu2EUURrVbrKX/v8XAwjPcwDA+LQVQURViWxW/91m/x2te+ls9+9rN8//vff1JrfvSjH+Xkk0/m3HPP5V3vehe2bXP77bdz880386Mf/eigukpQ8pLe+ta3sn79eq688srHJBo/HXDcccexYcMG/vM//5MvfvGLQ+XczMwM119/Pddffz31ep2zzz6b6elpXvWqVzE/Pz8kUW/evPlJq8P2B0II3vKWtzA9Pc2VV175xA7YWUy0uJVo8RHfZ1awG5MY1RbKqiB0Ha3fQyhZcm4Mk6KQJFmCH/cQukLLMsRyD40cqQt020JYNmQpsZeiGR6FKOMtchK0BFTFwBlrkEYJaaGIc5+5mS6d5QDTcpAC0tAnjSLMmkGl0cB0S/+gQAzozfeJ4xBlGJBDQY7TrKClZYfDqVbQhCCbzFiemaPz8CJatcB2qximCUKSBgWL7YhAaOiBgRlG1HKBMupocU5/PiS1TBCULtxel9D3CHyDJCvJ1oZVpsNbFZjZtoxTKz+km6MVdEPHtk3md/aIgpiiyPEGAwo0TMvBrhR0Fn10XZUFWRAw6HmEcZ9kIJmYchgdaxLHCb4XYOp9Bt1ddJZ8hKjhViqkSYZhKJojNTpzIUoZIDKUoTMy3kAIgVNx6C5HjI5ZJGlGe6lDmqTolqLXDcm1AYYjh7yiXEY0pUXQL8hFH/SMKC8oUojzjFwkeEGG4xYM+jFR5JVRHEXBwItw3QGdnizDUX9mPJTnGWkScOzaE5icXMODD20hSXMMw0UpkzSNCPwOeVYQe8sURYau2wihEEKn2+kwN9thmyaoN8ZptUYYGR3hyKOOJAgClpYWmNvtUamMYRgVCgrMvFrK03tdwtQjLTIsp7yvlwT1nxZBeZYQ+R0su4mQOpZlcsIJJ7K8tMSuXTNomlYWp/UppNQp8pSk1yXKIoRbA6ER95Zxm5OPaaq4sPVWKB7fquRg8Lu/+7s8//nP5wMf+MCQIG0YBqeccgrr16/nbW97G7VajbvuumvIHTqYrrVSittuu40TTzzxUP8Iv1A4ZCqw4YKaNlSBpWnK1NQUn/zkJ3nd617H2972Nnbt2sXXv/71p/y9x8OnPvWpvcjb+4PnPve5XHjhhcN080OFa6+9ljiOOfLII7n22msPCz/luOOOY3p6mnPPPZeJiQnuuusubr75Zm699db9tlV3XZf3ve991Go1Pvaxjx3WGfWTxZ7x3Fe+8pX9Tp23LGtIol6/fv0w0HXjxo3cfffdh4XfZBgG733ve1m1ahUf/vCHD+nvVG9OYVZH0c1SHaMZelnsaAWarlCWgbQthCYhyTAqFQynhqYEhe9BFqKJAmUqNENDFDmubpPpkspYi9roKFpW4Hd7BO0OURaS5RnkGUkUQVxguw6OW8EwdJQQBP0uYaeHtHNM20K3THRTJ41TUi+nNlHBbdTJ85w0jgkHPkUI9YkqhmWSJilZmjDodunPdTFrBpO1GiPVKpZlEng+yWKAahnohs6gP4AwoOsnhF5KoOcYho4uFErpJFGEP+jiuCZTq8epNctiDcAf+HSXQiwrR5OglIFt64RRRHchpDlm0xipkyYpeZ4ipUGeFqRhxshkhUrFQdd14iRlaX6Z2e0d6i0du2KSZxmapqF0gzTOWJrtU21JxsdHMK2y+xJHMfNzAxy77PAU5FiWhZSS5eUec7v6jE3o2K6NN4jQtJx6vUZBQTDImVjlYlml+q69PCAIPLx+Tr3u0hypUBQQxylRELF71wJbtrT5/nd7VOurkbo5VH6BRpYErFndotFYzbaHdxJFez9AJbGPN1jEqbQQWilFD6IeBTnSqkBREIZdqvUpdP2nD5FSSWq1GrYlGWs6JKlBEJaeQ71erwyZzVPisE/gLSF0k0JqKLtWJsELVeaRJQFp0Md0R6m4VU44sez87Ny5q1R2RQPyNMK0mwhZjmCLPCPPE7I0wuvOkpFjtyZRhoO2J+tMK8dxQX+BB/7jrw55AfSa17yG//bf/htXXnnl4ypnjzzyyKGq7IQTTjhgzyGlFLfccgtnnHHGId3/LyIOawEEcP311/PqV7+aarVKlmXcdNNNPOtZz/q5vPdY+Ju/+Rte97rXHdDPeeaZZ/L617+ed7/73Qd03OOhWq3y2c9+ljAMef/73/+UFBVTU1Oce+65TE9Pc9xxx/GTn/xk2PV4rDDSyclJrrzySnbv3s0f/uEfHnQH6anAb/3Wb/Ga17zmSY3npJScfPLJTE9PMz09TaVS4fbbb+eWW27h9ttvPyT+SrVajQ0bNpAkCddee+1T4tlkjRyJ2ZhAWlWEUuWNXgmkKNUyUlfolTLio6CAKEUoielWqDdGSCKfyB8gtARlSsyKg6Y0tDTHVjo4BrrjgFSE/R5ht4c0BbppURRlfEEcBBAUOCNVTMNESwuyKCT2B6RRgG6V2WamaWNWbMhBSwS18QpWxSGJEgadDt2lJYoQ1qyqMVlxyYUkRyMOI/JOgqhLapZOYViYtsl832Nm9wC7LtB1Hb8/IAx84jAiCwrqY1UqtRpKk2hoRH5AZ36ZIotojjSp1ysIAQUJwWBAv+1jVUDpCl03aDTrCCXxOjH1pk6jWabOewMPqRQCCZlJa8JCUGaEacCuXbPs2rHA2FidNUeMYVom+sp4rdvp8/CDy7RGJa2Rn2alZVnGwlyHJEzQRE4UB0gpqdZdkjinvRQzMWkxNt4gCGIC30cpA03AwmzK1BqXarVUzvpeSK/Xo7Ps850beizM5aRpSC7AtEpjvDWrx6jVxtixc54k2TvSJsti/MESpl1D151hwnyel4VhEgf0+7sRysCujqN0a1hcaZogS2N8bx7batAamaTRaNBoNDAMg16vx+LCLLO7HwLhIKVRyvWzhCjuk1Og6RZR2MVxx2m0xjnxxJNYWFgcjrPTJMTvz2JXxtGNR/u/JbGP15nBclordgg9MiXQ3XqZKZbFzNx3I+2ZQ+NrtgevetWr+I3f+A2uvPLKAxq9P9Jz6Mwzz9zLc2hfLvlSSn7wgx8wPT19SPf/i4pDXgDtC7t27eK2227juc99LmNjYz/X9/aFb33rWwcc7HbyySfznve8h9/7vd87oOMeC2vWrOHKK6/EMAz+5V/+hX/5l385JOseCFqt1vBD/pRTTuHhhx8eFkMPP/wwUP7cV1xxBd/73vf4q7/6q8OWyfVkIYTgDW94A7/8y7/Mxz72MTZv3nzI1l67di3T09Occ845rFmzhnvvvXfIG1paWjrg9SYnJ/ngBz/Ili1b+NSnPvWk5/sHC81wsZurMGotpFlF6DoFOUrTkIaBNEycqkuz1cRLQhCqzIgKAoo4RNg60jAgz9DSDMe2ceou9bERhKPwu10Gi8ukaYi0dXTLQjfMshjqp5gjNpbrgqYRdHsMFhZIvBDTtTAsG1mAlmakUYqpCwzbwHAUSi8DNfMoR2kFq6oOUkl0coKBR2+5hyo0KlOjjIyNYJgGC0VBrzMgHiTorkaRZeRZjjQUkR/iLfSpjNq4boWsgDiMCAOfdJDTWlXDrZak56IoSOOY2e1zBN0elm1hWyZCK/O50jijSHOqDQPTVBgmJS9IKbptH8fWGZ9qYds2nXafNIpZXOoSDjLqI6U6S+llFIfvhyzOtXEsiyPXTmAYP/Wt8byA7VuWcSsZ1aqLZVtkaU6SJnQ7PXrtmJExB00DXdcZHasjlWRpoY8QitGxaulu3CnjXwzTYMtmj//3a4vIFfflJImZWt3AqThs2ToPQq2orlbS2oucOPJIkgDbaQ7T5PegKHKisF9GXphVoCCM+xQa6G6j5PYkIUWaYLutvY63LItarYplCmo1lzgRDAY+nW4Hb+CtdG9igmCZOPapNcY46dln0e70mJ1fRAhV7i/sAQWG9WjPoTxPifw2Uujl/rSSbF2SwSOCoEOceGz/8Q08nvT9QPGKV7yCF77whVx55ZXs3LnzoNf5Wc+hr3zlK8zNzWFZFps3bybLMm688UZ++Zd/+ZDt/RcdT0kB9HTHj370I84666wDOmbt2rVcffXVvP71r3/S5z/zzDN573vfyw033MDExATbt2/nn/7pn570uk8Gruuyfv16zj33XM444wza7Ta7du3i1FNP5Ytf/CLf/va3f677ezyYpskll1zC1NQUH/3oRw+rAeTExMTQfPGkk05iy5Ytw2Jo+/btT3j8unXr2LBhAzfeeCN/9Vd/9ZTwjA4ERmM1Zn0U3a7SGJ9E6AaDQY8sTZAaSMvCMC2kqTCVgXAMDMdFSEkSRqSeBzIrOzimhSWBrEAo0JwyEiQvEuIgIG4PUK6JYVtIQ6KUBZpApSXfSEhJmsQEvT6D+UWKLMGsuFhOFdO0IU7I44RxJWjZJnEaUWQBXppAmFKtWNgNl8S0CQ2dIs/pL/VBy6iPNKk06+iGThIndBfaJIMIsyKJ41IRpWSZ+ZX2C1qrq9SadTRNwx94dNtt+gs+rVV1KvUKWZIRhxFRGNFdWsLrerhVG7daxXVdpCYJvZA8zhkZqREEPr7XpeJWaTQrREEEJNiOgKJgMOgRhjFxnJEnBquPqjM6WkPpCk3TSOKUmV3zRF7CMcdNUG+U1h5ZltHv++x8uE2WDnAqBo5j47ouylDEUczyYs7Uaoc8hySJcFwH17XptAf881fmmdutIaXOqlVjmFbKpvu3kxc5UdSn0DRMq45QiiyLCf0ObnV8r9HWHiRJgN9fwHVH0XWHosiHnaEsTRgEiyRpgFubwLBqK5whNeQgJUmAP1igVp9kdGwVjUaDWq3srHW7XebnZpjb/SDV+iQnnHAi83MzbHv4AZA6ulMnTxNCv41bn0I39rG/2CcczO8V9roHeZYRRz22/eQ79JafgJd3AHjZy17G+eefz1VXXcWOHTsO2boAo6OjjI+Ps337dgaDAUceeSSveMUrOP/883ne856HUv8lo0D3wjMFECVZ+pH+QfuDqakp/viP/5hXvOIVT+rcF1xwAa9+9av57Gc/y7//+7/zjne8g06nw1e+8pUnte6hhGmaXHTRRZxzzjnEcUwcx0NF2Y9//OOfq9/Pz6LRaHDllVcShuFTNkrag2q1OiRRn3766SwvLw87aJs2bXpUt2z9+vW8973v5W//9m/5xje+8ZTt82Dw0pe+lFWrVvGVr/4DoahiVFtI20Eoo5Qm62UopUaOlGCYJsq0EaqAIkegIR0Lw3VKKXUOBhJRMZAI4iggbC8R+X10U2HW7JIQLSRZlCAzgdl0MG2LJE2IfY+kH6MbOmbdRsoyUT6LYlRUQOzRsiSFYWOZJtkgJOn0icgJTWPlqT4kz2KINeqTDZoTLSzbQipFmqR057vkSYRZURi6jWGbpEnMoNOjiHNqo/XSKTvLUIaBBsS9nMakg1Mtx1NJlLAwM8fizCKVukNrfEVxqgkMVfJ/lmfb6HaB5Tg4roOQAn/g018MaIw5WIaJ3/MJg4Aiyej1eqRxTL1exXFsTEMjSRPSNCSNNKbWVFay0so4DjSY3bXE/O4Oq6bqNEaq5HlGkefkFPS6IUmUU2/a1Oo1RkbKzKwwiHjogR7XfXWZY49dh9IzNj+wDSFMoBxrZXlKliX4QZs4DbCtJqZTQ0p92BkCyrR4v4OuTAyj8qjIi5I4vYQmSiPLKAlACgy7tmKKCHHYRykTw6wOSc+aplGtVqlUHFxbIHUL267R7w94eNs2wtAreUOxh9dfQBg2dn3ip/tbySTLsoTIW0TXK+grkRiPRJbF9Ja3s/nOfzykf1MvetGL+OAHPzjssB9q7Pk5/vEfy31/4xvf4Jvf/CZRFHHRRRdxzTXXHPJz7isTFA59huehwDMlIAdvhGiaJkKIgxoDKaV461vfyllnncUHP/jB4YhmX0aIP08YhsFFF13Esccey8UXX8zMzMxQUfaOd7wDx3GGyey33377z5UPdMQRR3DVVVdx33338elPf/opL8z6/T7f/e53+e53v4thGJx++ulMT0/z/ve/nzzPue2229i4cSN33XUXL3jBC3jDG97An/7pn/LDH/7wKd3ngcAwDC699FImJia45pprWF5eBubwH0EP050GRmMS3W2gLJdUCuK+hyYk0jURwkRKiRELskGCsMpuTr9IKOZCzJqD7VZxxlbhaJPkcUJBge+XH3KZFxANOrAjxbAkbrOB1axij1hkQUoapGgVEyUEVsVlkLbpdAaEzSoTdZvCtqFWJWy4eIsBwkgpCh1SiVZUyZKE2d09ltsBjl1B6RItz4kCnyyOaIxWsacqCE1D6jqW49Dze8zvmkU3JYZh4FRrmJYJRkJ3aYDSS/frwA+wXJPJoydJvAIpDUzLRGhgWha7duyg01nGzWwaIy0sx0LpCqfiYDkDegseuZ1gVHSaq1bhOg7eIGBxpkOhhUhdstTrkaUpumEiK5ItO2NaUZmJVuQ5wSBk0A+JE8XSck5a5CipUeSl+3yv67N7ZpnWqM3U6gx/EJRFqKnTaMFpZ47SWRqwefN2dH1PcaAhpVGSvWVKnqXIQqAjifpLFJrAtMvOkKZpZGlKkacoVd933leeUlBgWy2kVOhGtRxrxRFBtExGQlGArI6TFxmi0Ib8om63y+LibpRIePZp5zIYeCilOO300/F9n3a7zdzcdtLQw7Tq5L5HlIUIw0JZVdAkeRZTZBnSNvZhiljK6nc99PiRSgeCF7/4xVx44YWHtfjZg+uvv54XvehFALzkJS8hz/NDxl38WewrExQOPhf0cOOZDhAHZxToOA5f+cpXeNWrXkUQBAd0bK1W4/LLL8eyLD7+8Y/vxRt5zWteQ61W48///M8PaM3DgUajwQc+8AHSNOX3f//396kQO/bYY4eKssnJSe66666hqeDBJrMfDE499VQuv/xyvv71r/PVr371KTvv/kAIwUknnTQclY2OjgLwz//8z3z961+n3+//nHe4b1QqFTZs2ECe53z84x8/oBum0ZjCaoyh7BrKsNEMSZFlZVglGsq2EaaFLiVCE+imRFkWbqOKUgItS9GyglQJhNKIoog0itGiFFUxkaaJKqCIE/IoxJAajfEWuZ4TJRFFmpF5KXpFYrkOyjTRMvAHfeKOT3WiTm10DMt1SOOYwXIbb2GAcsuiIE1jyDWKPIdYUGnY2G4FUZR8ocHSMmGvi2Wb1EdqGJYCLSdLE4JejGkpDEtHmRK3WsVyHIJBQB7lrDpylGqtyu6du+l1OvR7A6J+zsiUg1txkUJHGWUXanH3MlLljE2MUmv+NJ079EOCToZhZ0gBYRCj24owDOksDjAMRWusBgVEUYyGRgH0liJGxkuX5rwoynHfco/lxTZ5qlFvuWhFQZEXCKGwTYeFuQHfvWEH1erqR422iqIgSQP8wSIVZxSlzL06Q1E8IM5isjymUhnHNKtDwvMepEnIYLCA47aGxOmfrp8TRR7eYBbdcMjyDE3XMe0ydV4IRZ5nSC3kpJPPoNP1hyNvpRT1eh3HMWlWdaJQI0py2u0lOp02aRIRJwFh1CcrEqzKKIZZLc00H8EPytKIpdn72PaTQzP2v/DCC3npS1/K1Vdf/cQ2F08Sf//3f8/LX/7yw3qOR2JfmaDAYcnwPBR4pgMEBxUTsafTYVnWARVARx55JBs2bODBBx/kT//0Tx/F0n+6dICOOuooNmzYwH333cdnPvOZxyTmPvTQQzz00EN85StfYWpqiunpac477zze/va3c//993PzzTc/rqLsUODXfu3X+L3f+70DCoh9KpHnOffeey+bNm2iWq1y2mmn8cMf/pCzzjqLl7zkJdx3331D3tCBxpwcLoyOjnL11Veza9cu/uiP/og4jp/4oEcg7swQdx4h5dUUVnMKoz6KbtXIkhypJ6S6RNNA0wVaBr3lDkKVHRhdCCzXwK241Go1tJZJHEYk/YAiy8l0HSyNQgKaYHb3Itgmdq1emj7qAWEvJuz2EbIPIkWIgpSUzs5l8jTDrdcxbAu3UUcTGt78AOEKKm4LZZb3hXDQI+zGSCtCmSZpkSKaDmbFJA8LEtdBM03SOCGLEnpBgL9rGakXVGo1avUM0/KRskCgWJ5dZm5mljRJEFIysXoVwcAnGEQYegamRuwF+IOAOA1IOlBrRKRJitLLW7bSFX64TLsTMDY5wsQRk6iV0Z2pL7G0u0d3ubPyuxfUGnVsx0TXdfKkwLQMpJT0ex71lku9VcXrZVQbEss0SZIUQxn0+320zoDVa20Wd/lomljh5qw4YmdxGVdht1DKWokfKjtDhcqRQpH7Sxh6hTQckEY+hlVDKn1FVg9xMsCyqsPjH4miKCiKBMcdQdfLsWKep6RhSJR4oBSW43DcuhOYn19kud0brpGmKYsLC0RRH7KE0bE1jLTGOPqoY9DXnbCiKptjfnY7ftBDiyOi0EOYLrrprrhOC9IkZGbLfx7Q9f9YuOCCC/id3/mdp6T4+Zu/+ZuntPiBfWeCwuHJ8DwUeKYAWsGBjrLyPCeOY2zb3m8jqrPOOotLLrmEr3/96/z93//9PgmvT4cCaM8+/+Vf/oWvfe1r+33czMwM1113Hddddx3NZnPYGXrd617Hjh072LhxIzfffPMhbfm+6lWv4rd+67f42Mc+xo9/fOicWQ81bNvm8ssvp1qtcumllw6vmdHR0aGi7A1veAPbt28f8oZ+to38VOGII47g6quv5rbbbuPzn//8oVH6FSnh8nbC5UcQw3UTuzGF4TaRThVpmGi+hyY0pGGR2QZRltPvJcj5PsqyqDg2hhIkfkBa9JGWjtNskaYJOBrECXESlB0fSyfJEqJujGZKrEoV3TSRRkHc67Kwvc2y0cE0DYQUIFKyJEVFJtYRVUzHhqJASskg79Ff6CEtMCwLqZvY1SpZFJMFBXrNwG3WifwA4ShUzSLppeijLqmuE+UJjm4TBzFbbt+CpnIqlRrVWoXAi8jTgtBPoQhwqiZREBJGAVJT4KbsfGg3vufjVlwM0yBLMwqREocrHaskJksThJCMjrcQCLrtAaatoZs6UhQEvk+SZPSWQqRMMQyDNI8xdItKzUUpj0E7orJasWpqgl6vT3/QY3RilDOfk/DNv3uYOOpjGJUhiTiOfQzdRu0zT6sgz3MMZWFZJWE8zzPSLCYcLJEXBUIpkiTErYzt8/g0DYkjD7cyhhq6MpsoZWEYFaRIOe641ezYsZX5pR6mXRv6AQmhyuP9Dk5lDM8L8LztbN8BtmXTaNSpN2ocffSZdLsJvh+x3F7E6/cIvQ5pllAoRWfufuLoyXdpzz//fF7xildw9dVXs2XLlie93uPhC1/4Aq997WsPy9q//du/zY033vio1z/60Y/yrne9a5/HHI4Mz0OBZwqgFSilDvgp90DywPbERXz605/mBz/4wWN+38+7ADr//PN57Wtfy2c+85kn1YJst9t861vf4lvf+hau63LWWWdx7rnn8uIXv5hOpzPMwHnggQcOmkP1rne9i5NPPpnLL7/8SclHDzeazSYf/OAHabfbbNiwYS+e1OLiIjfccAM33HADlUqFs846i+npaX77t3+bfr8/LIbuu+++p8Ry4MQTT2TDhg184xvf4O///u8P78mSiGBhK8HCT5+ENaeJ05hAt6uElos0LIQsibxaUdC3TaRtYVgOpmHhZjZeL0UgKTIIvZCi20GaOdLWEboOlqRIcoo0Q3MlVr2K2WrgtztES12iNEUUlLLuQkKY4m+axXJM7FoFXQnyLCfKYrRejpIGhi1J45gsT4iikGibh1EtPXuk0hk7cjVplJL5GU7LolqtkqcZszt2IeuKqBeBK6FiEEuBlDbC0pifG6DCCCElhqgilEkahnhRj3BbD8sNyNMYyDDMkme0a+siSRxTrZWBpQUFvX6PbqfHmNlgdLSF0kt1WxgE5GnC1gd2U23q1OoN7JEyPNRxLaIgQ2iKgefRXu5gmAat0SbRaMxZvwT33NxHCkXkdfCjPpBTrU6S5yXfTtPkkJuTphFB1BmOxgCkpCQy6w5RPGAwmEdIndBrU+QZUhpDX6AsSwiC9kocx973RCEkjmNx3HGreXjbDF5f4OhV0tAnSAJQOrphE0V9TLP6qDiPIAwY7OoRBh0sy2V0bIpWa4SpqTVkWcby8iILC7PM7X6I2R0/etKX+gtf+EJe/epX86EPfeiwO+Z/9rOf5U1vetNhW/8v/uIv9jn1eLzEhcOR4Xko8EwBtIKDLYCeKA5DKcXb3vY2zjjjjP2KizhcGWNPBCEEb3rTm3je857H1VdffUgdqD3P4/vf/z7f//73MQyD0047jXPPPZcPfOADZFnGrbfeys0337zfDsuVSoUrrrgC0zR53/veR6fTOWR7PdRYs2YNV199NXfddRd//ud/TpY9tnvsYDDgpptu4qabbkLXdU499VSmp6e59NJLEUIMSdR33nnno0anhwJnn302l1xyCX/5l3/5c7M5KPw2nr93R1Uzq7hjR6JXRsjiHK0fQy1HOBkzs3MIqWE6NlbNRVomWQyRH1L4Gbqtl0oikeK3Q/xOH2GJUrWlQaZniFhijVWwGiOlfD/wCXtder0+gzxESFVmbFEe0+9BnCYYho6GJAlTup0O2kKGXXepNlrkWVmsZmmCFlnkTsZg0MdwDFrGJEkroYgycnKUEORFBppEmDl+L2Z0zQgjE2OARp7n2F6N3lyfVEYUpiJPU1AGWZYS9DyWuiHVqodh6KRJAkUCOezeNSCOd9FoVlCGQkqJrpu4VYcsStEEdLtdBn2FYRo4FZPZHT2kEWA5Jo5bdpyUUjx7usmO+2OCgUQ3KqgkwLLq5EnCIOojpYFhVhCaJM9T/KCL65Sjsb3+PTUBZGRZTK0yidKtMn09T4m8ZXJypGGTpdGKWks9qjvkODZHHjHBtq0P0+3F6Cuy9bIzVF2R5LdJwx6alf90nZXOUPlvE5FlMVCn3e7QbncQmkalWqVeq7NmzWr+268cQec3j+buu+/mtttuOyifr9/8zd/kta99Lddcc80h9SPbF/7oj/6It7/97Yf1HBMTEwd8zOHI8DwUeKYAWoFpmvi+f0DHPFGxUq/Xufzyy9F1ncsuu2xFQfP4+Hl0gGzb5tJLL2V0dJT3ve99h5WvsydS4tZbb0UIMXRYfvvb347rusOMssdSlE1MTHDVVVexa9cuPvKRjxyWQuBQ4eSTT+b9738/N9xwwwETs5Mk4fbbb+f222/nc5/7HOvWrePcc8/l9a9/PZdccgl33nknt9xyywHFlzwezjvvPN70pjfxJ3/yJ2zcuPFJr3coUUR9BjvvHX79gl/7Neqj4/znj+4llTbKdhj0fLTZeQzLKrPCLAvdNhF5QRQMyDVJUWikQUGx5CGdFMMwkbqCPCbZtUzY9TDrFZRhIpWOpuskfoDVMLFqVZShk0UxySAiTWMSs1RDZY5DDqT9CEJFuhyi2hFCK6i4Njsf2EaU+Th1B7dWx23UMe2coOOTRQWGKUmjmCgK0aRAWoKgF9DTu9hVF6UrKvUqSRTTmw2oTVRpjo8ipSSOIgbdPt2ZLqmRkZGTixRdt3AqLr4XMtfN8EWKEhAOBoT+gDTKMXUHr1uaLUZJTJ7kdKI2Mzt2kqY5U6tHGZsUpEmKkAJNwLOea/Pv/+88aRZSq0w+ys8niUMGcY88jTGs6lDhJYQcEp/zPCOJAzQEuuEMDQ9VUaArq5TMx30iv4PUrZJHlKdDX6BarcaaNavYvv1+ut1kL2J2acwoKYqcIs+pV1cjpU4aBfixh9ANDKtKlmdEQRvHHRvK7AHyoqDX67G8vMDy4mb+v2/eyfT0NM9//vP5vd/7vWHsxG233cZDDz30hL5dv/Ebv8HrX/96rrnmmsMSa/RIXHvttVx88cWH9RwHi8OR4Xko8IwKbAVTU1Ps3r37gI75xCc+wXXXXbdPGfMeEvEDDzzAn/7pn+53d+n000/nzW9+82POUg81xsfH2bBhA0tLS3zyk5884CLwUGKPomx6epqpqam9Msq63S7HH388H/jAB/j3f/93vvSlLz1tXagBnve85/H//D//D1/4whf413/910O69po1a4a/p2OPPZb7779/SKLeE6B4IHjZy17GhRdeyMc//vGnjHx4MJBSctFFF3Hcccdx1VVX7f1AIU2s5hRmpYm0KijXRhgmUtMwpMC2LTRDgdTJpUDLCqRlIg0DoSuyKCTzfbIsQUoNqSSG0tG0At1Q6A0Ls+oghCDyfIJ2hyJNMKsOdrWOUXFLRVQvwnAUumVgKoXf67E4u5ukF2DYimq1ga4MlCxVcVkco1SO5eooU6F0g6IAb6mPVOA0HJTSy9yzJCaJcxzTZeSIkVJ2T8mV6S61Wdy6iFEpcNwKpmOCVvoQee0Qt2ZiOCZZmqKhYVoGURgT9WKa41UazQZhENBZ6jDodhksB5iOwDBMlKZQSqKEoN/vce/GJYK2g2M1HuWmnKYRYdQjTgN0aZLmCZrQMIxKaSSpiZI4HXZxnZHHNEzsewvYVh0p9FIJFvdJi4zWyARHHXUMO3Y+SL+fYprVfXj2JIRBG+MRnkN5nq0UaRlxPMALlkEq3Oo4Upl7mS7meUYc9rjnzq8Sx4PhuntiJ84++2zOOOMMoijitttu49Zbb+Wuu+561D3+vPPO441vfCMf+chH+MlPfvJkL//HxTXXXMMHP/jBw3qOA8HPRmIdjgzPQ7LPZwqgEscdd9wBz2Y//OEPc+ONN/Ld7353r9fPPvtsLr74Yq6//voDIhEDnHTSSVxyySW85S1vOaDjDgZ7Coof/OAHeyWkPx2watWqYUbZunXrmJmZYXJykn/6p3962sncfxYvetGLeNWrXsUnP/lJbr/99sN6rlarxTnnnMM555zDs5/9bGZmZoa8oSe6noUQvPnNb2Z6epoPf/jDh92P5MnAMAwuv/xyms0m11xzzX5ZLGiGi9OcQq+OoLulFN0wTQqhQVEWDpqWgxTojoNUokwWTwv0moPuloZ7SeiTDwKUKZBKIrSCLAkhL1CGwGo46I6JkJIsTsgGKZWGg+naJKRI3SKLEuK2h7S1Ul1W5CRRTNDpErQHOM0K1dYIluEg8oLY90m8AKmlaCIHmSINhZSKLMqxLYPqaB27YqOhEXg+g24XvTAZPXIUXdfJ0pQ0Tuh3eyztXMKsKJyKi1ur4FYr5EVO2ItpNauYtkGn0yFNIgzTpsgL4l6G7hZIJYjjkEHPo98bkHgZm26KMfX6XnEVeZGTJD5h1MWxR0qPoJWiI8tjwqhfmjXmCVV3HMNwV0ZTPy2i0iwm8NvohoNpuGiaGHaRXNdh9eoJHtp2L7NzM9h2a8UxWq4ULxIoSOIBSeThOK1HcX+KoiCK+vj+EpbVAK0gin2Qciitz9KYndt/yPzuxxZVKKU46aSTOPvsszn77LNptVr8+Mc/HnaHTjvtNN7ylrfwkY985LA/VLz//e/n4x//+GE9x4HiZwsgOPQZnodkn88UQCVOPfVU7rnnngOKIvjABz7AnXfeyTe/+c3hay9+8Yt5+ctfzp/92Z/xn/954NLJY445hmuuueaAw1kPFL/0S7/EO9/5Tr785S9zww03HNZzPVm88pWv5CUveQk7duzgyCOPZOfOnUN5/c9LKbUvPDJ/7CMf+chhJzv+LBzH4cwzz2R6epqzzjoL3/eHxdC99967F/9I13Xe8573cNRRR3HNNdc8beT3+4Lrunv5ET2ZLqXutrAaq2iOr8ao1kDTKPKMLM9JpUSTOoICpasy2NQ0EJZOnkakYYiSEuWYGJUGSsjS4C+KEaZEoqFlKaZekAQeYRrgjDSoNBoowyBL0tKbyJUIKciSmCzPSKOYzEtxRlxMp4JUZUEQdHv4Cz1UVWJXqiipU8QZQbdH7PkYqkDXdbQClKVh2SZC07FtnUqzimEaoIHf91iemyfyUloTddxGpfxdSB2hSfoLPoUKMF0Ty3RwaxXyPKe/3EdqguZ4nTzN8AcecRQSRzHbfrzE5lv6OFZ96OuTZhF+sIzrjKH/jKS9KHLi2KfvL2DoFnmRURQ5uu6iryS5w0oxUhRYVm2v4qpWrbH22LVsfuA+ds48iL1y3jj2ifMQqUx0wyXPUsJwmao7ibGPsNM0DRkMFnGcJrruAAXZnryvLMIPOoRRly0P/dsBXVdr1qzh7LPPZv369Zx00kkA3HjjjXzzm9/cr1HZweKSSy7hD//wDw/L2ocDhzLD81DgmQJoBc95znPYuHHjAV2ol1xyCVu3buW6665DKcU73vEOTj31VK699tqD/vBrNBp87nOfY9u2bfzwhz9k48aNBzXWeDy8/OUv58ILL+SP/uiPDnuH4slACMFb3vIWzj33XD760Y/y0EMPDRVl09PTnHnmmXS73aG8fl9xE08VdF3n4osv5qijjuLDH/7wYc0f2x8opTjllFOGozLTNIck6p/85Ce8973vRSnFxz72saetESOUCrqrr76a+fl5PvnJTx6wUGF/sGrtybSm1mK5TVIhGQQ+cRiQZCvuw7aFbrplKjsaulEaFUrXQEiNJPDIByGqatEaHydHEHheSTIuCqQqr2WymCwIyJME3RVURls49SrKNAj7A6LlAKNhonRJnmYUeVYmvEeSxpEjOPVqGQ2SpXhLS3R2LCGMDGXoSF0hdUUaRKT9BMsycF2XIkvJsxgNoAC3qmPXHJSSWKZF4HvM7tpN0A0YmWwxvnoc07bRDZ00TujMDbBcDSE0hJK4rotlmnTaPR66yaczN2C5s0x/0C/l7O4opl5FSn2vAijLEoKog9AkprESNLoylopjjyQLy05PkeG6oxi6MxxJ1Wv1svjZ/BN27NyM646gq3J0VhTZcJ0w7OEFy+i6hVsZKxVle422UoKgiyYElll71PguyxKCsMO9911PFB0cr+75z38+73jHO/jGN77B5OTko0Zld9999yHjLb7zne/k05/+9CFZ678qnimAVvDrv/7r/Nu//dsBFUB7crtuuOEG3v/+9yOE4Nprr91vX6DHQr1e5+yzz+Y5z3kOp5566rDj8WQ9dHRd553vfCcnn3wyH/vYx57WIw/Lsrj00ksZHx/nIx/5yD47FHsUZXt8dPI855ZbbhnGTTxVURiVSoUPfOADCCGelgWFpmkcd9xxTE9P85znPIepqSm63S5f+9rX+M///M+nrYpucnKSD33oQ0MzzsdT0B0q1Ot1jll7HCNHrkOYTRb6A7r9AVGSAwVIQACFhhAKaekoKTCUolatUugFmRRYboUCSIKIIooQpgIloMhJg5AsCDErDqZtYygTKTTS0CMJAoSeY7gKpXSEYZDGIZmXUR2pYjfqgEaaJsT+gMIvqE7WsasVsiQliWP8TpfBQgdpgjIMlG5hV5xy/NMJcCsmo2MT+P0+y/OLRF6fLEqwLR2nZmG7BoZReiP5nk9/YUBzVZWRsVFst+RBZWlKbyFky/dTHNtGExHLS10G/oBup4/SS0drISQFEMcDijzDsuqoR4yl9oy3oniA5y2gDJe8yFBSYZhVmvUWx61bx7atW9k5swXLrGIYzqPiNPI8xfc75EWKoTvkRUqc+GXmmllFCkGaJiSJj+uOPsJT6Kf7SNKArVv/nbn5vRVJ+4tf/uVf5h3veAe///u/z1133QU88ajsYFRlAG9605v2Ig4/g4PDMwXQCl760pdy3XXXHVAB9MY3vpFarcbJJ5/M/fffz6c//elD/oTqOM4wlf3MM89keXl5WAxt3rx5v/dbq9W44oorUErx8Y9//Gn7oQflU/+VV16J53n8wR/8wX5FMOyJm9jDG6pUKntllB1oXMn+Ynx8nKuuuoqdO3fyx3/8x4elQ3GoMDU1NfQh2bx5M2effTbHH388mzdvHo7KZmZmnnihpwBHHXUUV199Nf/xH//Bl770pcM2Qng8WJbFSSedxLHHHsvo2CQPL/TZMddm2QtIC1E6WGsCZVnURlskaU6WJGhFgabEivIpRyNFK3KsagWzXsNwK+RZSjoI0WSOppedkiJNSUKfws8wR6o41QZKE2RRROL1yKIITSQYtkIYCqUMNCFRmaA6UcdplCO9yPPoLiziL/VwWlUqjdrKWE1QxCkmFqmIyCiVUkrX0dAYLPZQZvmgVOQ5Qc8j7PeJ/QBLOTTGGmVGmaVjGJIo8tnyozm23LHMqoljGR+dKB27BXR7y7Q7C8wvzBEnCQUZrjW6UrzIYXeoLDxCPH8R1y79fooiIy8yKhWb409cy333/Zj5hQV0ZWHZdZQ09+reFEVOEgcl98gZWYnjKNcoQ29j/GCZOPFxK+OYZmVYnO1ZJ00jlpa3sOmBbz7qOtgfPO95z+Nd73oXf/AHf8Cdd975mN/3yFHZiSeeyLZt24bdof0dlf3u7/4uf/3Xf31Q+3wGe+OZAmgFb3zjG/nSl750QMdceumlnHvuuXz1q18dpu0eTuwJ2Dz33HM555xziKJoWAzde++9jzn+WbNmzdCD6FOf+tTT+kP6qKOO4qqrrhr65hxsF2ft2rXDYmhqaoq7776bm2++mVtuueWQZZQdc8wxXHXVVfzwhz982pHIfxbr1q3jqquu4jvf+Q5f/vKXh683Go1hgv1pp53G7OzssBh68MEHfy6Fx4knnsiVV17J9ddf/5T8Xe0PpJScfPLJnHLKKaxbt440TbnjnvuYWQ5ojK7i4d0LeGGMJhWQIyQI3UC3bZRllx2LvEATYBiq9K3JE/I4BJGiqiaGXUEaBkWWkvkRetXCdKpIXZEEIdGgR9zrY1RsDNtBopFFIWngIzUN0zbRTR1lgiY1yAUiF1hNB8OyEBpYpsnCzAzd3cu4Iy61VjlaU7pOHISESwHOiIkG+AOvLMrSlKgfonSwXAspDTQgCHz8/oDluzKyXmluCGBbFrV6HccxQCT4QZdud0Cv1yMMEwzDLYtDJHmREoRtLLOOrjuIlc5Oo9Hg6GOO4oEHfsLc3A7ixEcTAk0T6Loz5A2V3KMYP1ii4oztM04jSQIG3gKGXsZbxLFHTo5hOEOPojgecPc9/0iaHniY83Oe8xze/e5384lPfIIf/Wj/TRMfS1V22223cdddd+1zVPayl73sgIU1z+Cx8UwBtIKLL76YP/mTP9nv73/pS1/KK1/5Sh544AE2bNhw+Db2GJBScsoppww/5JVS3HLLLdx8883cddddw+yuPSGhN9xwA3/3d3/3c/lA21+cfvrpXHbZZVx//fX8wz/8wyFbd9WqVcNYjnXr1rFp06Yhb+hguTqnn34673vf+/ja177G9ddff8j2ejhw5plnctlllz0h4d2yLM444wymp6dZv349cRwPR4o//vGPn5KR4llnncWll17Kl770Jb7zne8c9vMdLI499ljOP/98zjzzTDzP44477uCOO+5g0+YtZFYLszaKtKoIJZFKIaQEWY4jtSJHVmx0w0STBhQpWqZhVSulN5GSZLFHFvtoskCYsoz20ASgoRc61mgFw60ghEbY7zNYWCDuDZCOQhkmpm4h0MjDCCUl9Vad1liLzvI8vt8l9iK0QlAdrWA4VtkRkYI4DAkWfdxRk0q9geU46KaB1+3Rm+1j1QS6Uvi+T56l5GlOngq2/X/LyMIpu1KaIMtT4tinIGZi7AhaI2NUXJswCul2l1hcnmWpvUSaJlhWDcuooWQZQtpoNFh77FoefHAz8/MzRHEf22qWfkDFT6XsaR5T5JDmEY7TwjQqZXH2M9yjMOyhCQ3LrKGtmDTuUaeFUY8wHrBr94/o9w+8+zk9Pc3FF1/MJz/5SW677baDvp72FNh7RmWbNm3iG9/4BoZhsH37dgaDAS960Yu4/vrrH1XgPYODxzMF0Ao+8pGP7JePwh4ezSmnnMJNN93EEUcc8XOXIGqaxvHHH89znvMczj33XOr1Orfffju+7/P85z+fz33uc/vMbnk64bzzzuPNb34zf/7nf85NN9102M7TbDY5++yzOffcc3n2s5/Nzp07hx2P/Q0n3BO++pnPfIZ///d/P2x7PRR4wQtewNve9jb+7M/+7HEjWH4WUkqe9axnDUnUjuNw++23c8sttwyvrUONPQTSA93rzwN7fJ4+9alP8dBDDw2tCNatW8cDDzzAxo0bueOOO1a8xQRmYxKjMYHutpCmiSZAaBrS0DFMC01qFGgIseJPpJsUeUoeJ0g0DMfGchw0CWk0oEhjjIqBMi2krsiLnCLJINewW1WUZa2QqAMyP8TUJBERSIGhlwVP6oVoSYJuSJRSZElEEnukSYCWSUamRqm2GihDRylFFIb4iz6mQ8lpQmKYBqHvs7hliYdunMG1WmhCkq64LDv2yFARJoSgVq1SrVXR9YJCC1la6uD7Hu12G02YjI6Oc8za43h463aWlxcIojauPbpXZ6cMSM2IY59BsIjQJGggpI5pVJFyT1irRpKEJImH7bT24h7BSp5jMmDHzluZmbvrgK+Bc845Z6jCuvXWW5/8RfUITE5OMjIywtLSErOzs9RqNd797ndzwQUXcNZZZ5Wk+mfwpPFMAbSCz3zmM09oPthoNLjiiivQNI1rr72WM888kxe84AVPKwMqKMc/b33rWznuuOPI85w777yTH/7wh9x6661PS4Lua17zGn7zN3+T3//93+fee+994oMOER5LUbZx40buv//+fY609ijorr322kfZtz/d8Nu//du87GUv4w/+4A+4++67n9Raxx57LOeccw7T09OsXr2ae+65Z9gd2h+H8yfCngy6J+JQPB3w67/+67zxjW/kE5/4BHfcccde7/3sNeV5HjfffDM//OH/v73zDIvq+rr4unf6wNCk2JCmUmwUqSaSYoKYGDUxRU1MNEUTS9TETm/2ikbUWKNij0ks+duiRqUKiigqWFDRGAsqnSnn/UDmvqKAlGno+T3PfGDucM9mGLj77rP3Wkk4f/48V4FlRDJITK0gMDIHT2wEvtQEYABCFOAxLPhiAYQiKVipGCyfD1apAF8iBisQgoCBsqwUitIS8IUAj8+HUCyCSCQEIQQ8hkBgLoVALAaPxwOjkOPx3buQy+UwsjSF1MwcLFPVyCwvLgcLAp6QBxVRQlEpB5EroSgvB6lUQiTiQSQUg8/jA4pKlJcVg8cAZq1bwMzSsqpapVShrKgIN07dw53zhaisKAEhSohFMkjF5lWTWAwPDMsDAwYKZQXKygthZmIJK8tWMDUzg0DAQ0lpMYyMRcjNu4hbt29AoZRDJrWGQK0X9ETjs0JZifLyh2B5Agj5UuC/KS+lSo6KymKoiBIsWMiV5TAysvpPU4hXrXoiV5Tj/v3LuHi54bYv3t7e+OGHH7BgwQKtK6e/8sorGDFiBHbv3o0///wTEokE7777LhYuXAgjIyOtrbt27VoMGzbsmefXrFmDL774AmPGjKk2hebk5IS8vDytxaMNaAL0H5s3b8agQYNqPe7g4IBp06bh3LlzWLp0KeRyOfz9/TFgwABMmjRJh5HWjVgsxoQJE9C6dWvExMSAZVlu+sfR0RHnz5/nNHQaO4GgKQQCAcaOHYsOHTogOjoaBQUFeo1F7VHm7e0NQkg1jzKlUomRI0fC09MT0dHRBj1BxzAMvvjiCwQGBiIqKkrjztMtW7bkKh6urq64fPkyt/3aGFPaTz75BH369EFMTIzW7QKaynvvvYePP/4YsbGxzxW4e1KKwNvbG1KpFBkZGUhJSUFaWtozVi+syBhSy3YQyCzAE0rA8lkwfCHAsmBUCrCkajtMIJFAaGQEnlgMyJXg8Vjwpf8lR0QFRWkRFI+LIJFKYWFpgfKKyiqvMVYFHp+BwFgAvqjqtZUlJah4XAoeCxhZWkBmaQmh1AjyigqU3nsIolSA4QPKCjnk8nIoKuVQVSogYoWQmhhDJBKDz/LAgqD44QPcTP8Hisd8iEUm4DE8yJUVqKwsAQMGQr4EYAjKyh9DKjaFUFilbQRUDRPYtm2Lx0UPoVCWQ64qwoP7RXhU9BjFxUUQ8KUQ8KoUm1VEicrKEoBhIRFV1wsiRAWlUoEKeRGKS+5ylSMBv0rKgGWqRBMJUaG45C7O5vwKlUreoM+Al5cXJk6ciEWLFtXoAqBJevTogWPHjnEVH7lcjr///ht//fUXoqKitLodVllZWa3SW1xcDA8PD6SkpMDR0REBAQEICQlBQEAAgKqqsUwm01o82oAmQP9x6NAh9OrVq8Zjfn5++P7777Ft2zbs3LmTe97T0xNffPEFxo4dq6sw68TS0hLTp09HUVFRjdNTlpaWXC+Mm5sb8vLyuLtTTWsNPQ+ZTIapU6eCx+MhLi5OY43JmoBlWbi4uMDPzw9+fn6QyWQoKyuDUqlEZGSkQTvP8/l8jBkzBh07dkRkZKTWf68mJibo3r07fH194e7ujvv373NVtEuXLtXZGM4wDL766iv4+fkhIiICN27c0GqsTUWdqEVGRjZK50tdRfPx8YGtrS3OnTuH1NRUpKam1ipEKTCygNC0JYQyc/BEErB8PgAGLJ8Pnlj830Q+gZDHVjVAS0RghDzwGR5EDA+VjBKMWAyBSAyQqsoRyivBCAh4DAMV5IBKBZVSAbGUB5GpMURGRlVbYgoFKh6WguUzEMjEEIok4AuFUFSUo/RBERgoIDKSgGF4UFRUQC6vABQMijIqwFaIwOcJuWkspbISlfISlJTeA8vyIeIbQSIyBcvyYNnCCvYOjrh85TLu37uDCkURbKztYWlpDZmJDApFJQoLH6Dw4R3c+fcWlAoF+HwBxCIzCAXSKoPT/6pD6nH2ktL7kErMweMJ//MqU0KurNoOIwAIGFzK+xMVlQ2riHt4eGDy5MlYvHhxo4RuG4K3tzeSk5MNZrsrLi4O+fn5WL58ORQKBSwsLHDr1i0YGxvrO7RGQxOg/8jKykK3bt2eef7DDz/EgAEDsHDhQqSmplY75ubmhnHjxuGbb77RVZi14uTkhOnTpyM9PR3Lly9/rmaKiYkJt6Xh7u6OgoICbqJM2+rKLVu2RGhoKK5fv27wo+OmpqaIiYmBUChEeXk5N1GmvsgbUuImFosxZcoUyGQyREVF6Tw2kUgEd3d3rolapVIhLS0NKSkpyMrKqvZ75vP5GDt2LJycnBAZGalVA15NMHz4cLzyyisICwvTSAJsbW3NTd+5ubnhxo0bXGXoecmVwMQGYtOqJmuBxBiMoMrTmmEAlmEhMTGBzKIFyisqQZQK8PgAT8gHXyQCWBUU5eVQlZdCYGQEkcwEYpkpVEolKotLgEo5WD4BiBKqynIolRVgFCpITKSQ2bSASGYMgVAIRWUlSu89BlFVgCdgwQqqnOZZPg+VDytx9+/74KnE4PNFVb1IigqUVzyEWGwG/n/+XgpVJczNjNHRuQPOnT2PR48eolJRDiOpJYQCY7BsldSAsbExTExNIRbxwLCVePDwAUqKy1BYeB8VlZUQCY3A54nAgIVKJUdJeSGMJFU+Y09um6lUyiqrjYpHuJj3P5SWN6wC7u7ujsmTJ2PJkiVa71Hr1q0bTp06BR6P9/wX64Dy8nLY2dkhJSUF9vb2yMjIQGBgIGxsbFBQUIDAwECsWLEC7dq103eoDYImQP9x8+ZN2Nracl8LhUKMHj0aLi4uiIuLqzEp0JVtxfNQV6g2b96M3377rcHfL5FI4OXlBX9/f64XJikpCcnJybh06ZJGJ8ecnZ0xffp0HD58GOvWrTPoqbTWrVsjLCyM03hSKBRo2bIlV0Xr2LEjLl26xG0p6rqK9iSmpqYIDQ1FcXExZs6c+cz2iq5R6zKpm6hNTExw+vRpLhkaNWoUzMzM9JKoNQSWZfHtt9+iS5cuCA8P14rCt7pvyMfHB56enigtLeUqQ9nZ2fWavhOYtoLErCVa2tlDIpXh7sNHIEoFCA8Ay4BVAaxAAJHECHyhEDyWBcsAPAkLvlQAvkgMolRBUVoGZUUl+FIBBBIj8IVVBqrykhIwRA6+QAARXwSolJBXlEJRUQaJqRFMWphAaCQBIUBlWTlK/n2E28eugyVCMCwLHo9fVbHhS8HjVSVs5hZmaNO6FXIunMW9+7cgV1UlyEK+pKqZWd07xPCgUslRXvEYUiNjWFu1QQsLK4jFQhQVP0Zh4X3cu38bhQ//hVIph5G0BYQCI04v6P9d6BWokJfiQt5ePGrgxFfXrl0xdepULFu2DMeOHWvYL7iBuLm54cyZM+Dz+VpdR03//v1rHJKJiYnh+mJXr16N3377jbu+bNy4EfHx8YiPj4elpSXGjh0LhUKBffv26SRmTUEToP94+PAhzM3NAVRNCk2dOhUqlQozZsyo9R9069atsXDhQnz00Ue6DLUaau+xhQsXaqQZT62u7O/vD29vb8jl8mpaQ01R41WLha1fv97g/1DUidr+/fuxcePGGhM1MzMzrorWtWtXrorWkIkyTWBjY4Pw8HDk5eVh8eLFOlPAbgj29vbw8fGBv78/7O3tUVJSgu3bt+P48eO4d++evsOrET6fz/mlhYeHa6TZuz5rdu7cmdsqU/cNqafv6hIFHTBgADw9PbF48WLcvXsXQhMbCEysIDA2B18sqRrJZ1gwQgFYgQAsCzCkSp+IJ2bBY6tG9hkowLIsxCZGkJiagieWQKWUo+JRCVSKCvAEDBhBVUOxqrISqAR4YgHEEjEEQjF4BCgreoCSOw/x4NxdiEUmAKmaehPyJBDwxbCytEbbtm1xKfcS7j0oAF8gqdL2YaqasVXKKnVolVIOBgyUSjlEQmOIhDLwBWKwDAs+nw9TU1PITIzB5xMoUYJ7dx6hpKQEhQ/vgYBwiRAIoFRV4tLVgyh8dL1Bv5MuXbpg2rRpSEhI0OqEKlCl13Xu3DkIBILnv1hD3Llzp0ahWAsLC5iYmAComniLjIxEcHBwjefIz8+Ho6MjCgsLue9pDtAE6D8UCgUEAgEsLS3h4uICd3d3JCQk1HkxMTc3x5o1a/D+++/rXASPz+dj5MiR8PDwQGxsrMYbXYH/H4VW98Lw+Xykp6cjKSkJZ86cadDW1YABA/Dhhx9i3rx5Bu0/BlRpe4wbN65BiZpUKoWXlxen2P348WNOa6i2iTJN4ODggLCwMPz99996U0yuL+bm5oiIiEBhYSEyMjLQvXt3uLm5IT8/n9tSNJTmcqFQiEmTJnHu848fN84bqqk83Td0/vx5bqvsyW3DL7/8Ev7+/ggLC6tTzZsvs4LI1Bp8sQx8iRF4IjEYlQpgCXgiIQQSI/BEUrAMAIUCYFRgeQz4AgFYhkAlLwdfwIfIVAKxqTkEYjEUFRWoLC4BUcn/swYRVG03yZXgywWoyH4EHkRg2CrjWVNTY9ja2iArKxOPHxbCyMgSAoGU0wFSO8ArFOWolJehtOQ+BAIJVColWB4Pwv8aopn/VJxVSgXKKh/C2qodrK1awdTUFAwDFBbeR2HhA/x79yaKSx/g9p2zeFTUsO3LTp06ISQkBMuXL9e6lIiDgwPOnz8PsVis1XUaSl5eHnx8fHDnzp1aE7NHjx7BzMwMFy5cgLOzs44jbDw0AXoCobBKJ6Jjx471GseWSCRITEzE4MGDtaKLUhvGxsaYPHkypFIpYmNjdXJnqtYa8vPzg7+/P0xNTZGRkYGkpKQ6rSZYlsWIESPg7e2N6OhonVZGGkNwcDCGDh2KBQsWPNPzVV8EAgG6du3KTZQxDMNNlD0pUtlUunTpgilTpmDbtm0GL8b4pK/XkiVLuITQ2NiYa6L28PCoJkWQk5OjF3VtiUSC6dOng2VZxMTE6PRvuy5q6htKTU2Fra0tnJycEBYW1qgtOoFJK4jMrMCTGIEvkFZVhwT8KqsPqMCwDAQSCQRS46o+IhCo5JUQCgTg8wXgCQUginIoyssAngJCmQQCsREEYhFAVFA+rERpdiH4RAwrK2tYWVkhN/cMSkoqwBeIqmxBlBVgwYNIaASW4YMQOeSKSiiVCkilZuCxgqp1Vcr/hBBLUCEvAVRVdh5V217S/0xYq0xbzcxMIZWKweMrwEoKkJ9//gltpufj5uaG0NBQrFy5EocPH27w+9oQbG1tcfHiRUgkEq2u0xji4uJw4cKFavYbEyZMgJ+fH7f7cfDgQQQFBaGoqAhSqVRfoTYYmgChanIgKioKERERsLa2rndDJsuy2LlzJ4YPH66TJASoUjUOCQnBjRs3sGDBAo05CzcUe3t7rjLUpk0bnDlzhrOaUN8tSyQSTJw4ERYWFoiJiTHYrQ6gKsH77LPP0KtXL42OY6snytR9QyYmJsjIyEBycnKTBAXVQnzNQeTS3t4e4eHhOHbsGNauXVtrlUooFKJr167c2DjLspyDfWZmpk6a5WUyGUJDQ1FSUoIZM2YYbIO+kZERunfvjsGDB8PKygoPHz7k/v7q2zdUF4zIGFKLNhCYWkMgNgYEPPAYgOUx4PGrnN4ZllT190iE4Aml4PH+205TsRAYiSAQCsDj8yCvKEbl48cQ3q1Eh3YdkJeXD5WCV9WkzArAMAAhgEolh0JegbLyh5DLy8DjCSAVm0MgkFT1A7FV/UCEqCCXl6Ks/DEIVODzRFAq5QBRgs8TV02GgQUhKpRXPsatf0/ArXN79OjRA127dsXdu3eRmpqKtLS0WquzLi4uCAsLw+rVq3Hw4MEmvZfPo1WrVsjNzdWqpk9T6NmzJ4YNG1ZNE2j9+vWIjo7GqlWroFAoMGrUKAQEBGDVqlV6jLThvPQJUGlpKYYNG4bU1FQUFBQ0+O58y5YtGD9+vE5MJDt37oxJkybh0KFDWL9+vcFsd7Rq1YpLhpycnJCTk4OzZ8/i1Vdfxb179zB79mytmZFqAvXouLOzM6KiorT6u3RwcOCSoTZt2uDs2bPchau+BrVq0cA5c+Y0yHtIH7i6umL69On49ddfsWPHjnp/H8uy6NixI/deWVhYcE3U6enpWtmSUm/R3bp1C/PmzTPIXio1PB4P48aNg729PSIjI9G2bdtG9Q01CIERJBYtITQ2B9/IHDyRCCoVAZ8lYPmCqiqRWAzwVCAKBVg+D3xhlZAjn8+DSCCE4kYRKh+UViU9CgWnD8QwDAhRoaKiCCxPAIHQuErhGQSVFUVQqRTggQ8+X1Cl4FxRBKm0BQSCqqZq9bg9USlRIS9DeflDlJU+wPWCVChV/5/EisVidOvWjTMkZVmWUzjPzMxEeXk5nJ2dERYWhnXr1mndjsXa2hq5ubkG2zdTVlYGMzMznDlzBi4uLtWOTZ06FQkJCZDJZBgwYADi4uIMNomrjZc6AZLL5XjllVcgFAqxc+dOODo6ori4uEHnWLduHSIjI7XSg/MkavuFn3/+Wet3JE3BwsICffr0Qb9+/cDj8ZCXl4ekpCSDchp/EiMjI0yePBlisRixsbE6nUhST5T5+vrC2dkZubm5XMN5bRNln376Kd5++21ER0cjNzdXZ7E2Bk36etna2sLX1xc+Pj5ckp2SkoLU1FSNTGZZW1sjMjISOTk51bboDBE+n48ff/wRNjY2iIiIeOYz6+TkxG2V1dU3pJFYjK0hNrUC30gGnkgCnkgC8KqEBlmiBI/Hg5GJCcytrVAOAIRAebcIyn8eg8dW+ZsRlQIVFY/BMCx4DB8SsQkEAqP/LC5YqFRKEKKAXF6O8rJCEELAMgxEAinEQpOqytB/KtMqooK8sgT5N1Pw772cOmNnWRYdOnSAt7c3fHx80KpVK1y5cgX29vbYtm2b1o14W7Rogby8PJiZmWl1HUrtvNQJEADs3bsXb775JkQiESwtLRusjpyQkIDMzEz873//04p+jtoqonfv3pg1axbOnj2r8TU0iaenJ3788Uds374dBw4cgLe3N/z9/eHu7o5bt25xF3hD6AWytLREaGgo/v33X8ydO1dv24nAsxNl6vcqJSUFV65cAY/Hw3fffYcuXbpwVQpDRu3rpQ3BuBYtWnDvVadOnVBQUMD1DTXmRqR169aIiopCSkoKfv75Z4OprNaEUCjE5MmTYWJigsjIyOfesKn7hnx8fNCpUyeubyg1NbVRYo71QSA1h8iiNQQyC5hZWkMkkeLxo0dQMUyVozuRA0oGTKkcbHk5pFJLCIVG4PH4/zU2M5BXlkEpLwWUKvB5fCgUFeCxAghFJuD91yxNiAoqZSUqyouhUsnBEgaVlUW4djMZFRUNrxD6+flh/PjxuHfvHmxsbHD9+nWkpaUhNTUVV65c0ejnwszMDHl5eWjRooXGzklpOC99AvQktra2DRY569y5M4KDg+Hp6YmHDx8iKSkJSUlJGrk7FwqFGDduHBwcHBATE6NXq4j6EBQUhGHDhtVoZikWizmtIS8vLzx69IhToda01lB9sLOzQ2hoKDIyMpCQkGBQd/xqXSY/Pz94eXmhqKgIhBCoVCqEhITo3cLkeai36GbOnIkzZxpuMtkQjIyM4OnpWc17S+1RVh/ZBgcHB4SHh+PAgQPYuHGjVmNtKiKRCNOnT4dAIEB0dHSD+8dq0htSC1Vqom/oad58800EBARg+fLlKCyR/6dobQae2BgsXwCekA9GAaCsAqxCCR4jAI/Hh4AnAo8VQiEvgVKlhEAgBctUTZCx4EEoqBqlBxhO5bno8W3cupWB4uL6NTg/jVqQMzExEXv27OHeK29vb3h6eqK8vBxpaWlIS0vD2bNnm9QbJpPJkJubCxsbm0afg6IZDDYBys7OxrBhw5CXl4evvvoKs2fP1qrvCVA1/dXYxEUoFMLDw4PTzyktLeUu8I0ZgzY3N8e0adNQWVmJmTNnGpyJ6ZMwDIOhQ4fizTffxIwZM5CTU3fp+UnfLR8fHygUCm5kPDs7u0laQ/VBPT3166+/ar3M3VTMzc0RHR0NqVTKqcKqL1qnT5/W2ESZplDbRehji47P56NLly7cVplQKKzWRP20OKSzszNCQ0OxY8cO/PrrrzqNtaFIJBKEhoZCoVAgLi6uyUKXNekNZWZmIiUlRSN9Qx988AH69euH8PDwWqu9fKkZxBatwZOYgM8TgccApFIOPk8EkcioahsNDIQ8MYRCGViGgYoQMAwDpaIC5WUPUVH8AIWFV1FS3PhtUEdHR0RGRmLr1q34448/no2Tz4ebmxtXSTM1NcXp06eRlpaG9PT0Bm2bGxkZ4eLFi2jTpk2j46VoDoNMgCoqKuDi4oKgoCBMnDgRY8eOxcCBA2t0ptUk7u7uyMrKanI1gs/no2vXrvD394evry+USiWXDNXnrtTe3h4hISHIysrCTz/9ZNDNmEKhEN9//z0cHBwQHR1d7xFTNSzLVtMaEolEnLHm6dOnNT6Fo96aWb58Of766y+NnlvTWFpaIjw8nJv4UyqV3ESZr68vJ0WgbgzW57g2wzD4+uuv4ePjg4iICL37pTEMg/bt23PvlY2NDc6cOcNt/9jZ2WHq1KlYt24d/vzzT73G+jyMjIwQHh7OqXxrYzLN0dGR21ZU9w2p36uG9g19+OGHePfddxEeHt7gtgBWZAK+1BgiiRlEImMIBBLw/3ODl5c/hrK8BCp5JYqL/kFpUdOV19Vq/jt27Ki3ir6dnR28vb3h7e2N9u3bIzc3l5sqq8vPTiKRICcnB3Z2dk2Om6IZDDIB2rVrF4YPH46bN29CKpXizJkzGDVqFI4fP67VdV955RWcPHlSo9sxLMvCzc0N/v7+8Pf3B5/Pr3aBfzq58fb2xvjx47Fz506Dr06YmJhg2rRpIIQgLi6uyVUqhmHQoUMHTmvI3NycGxnXxAV+wIABGDhwIObMmYPTp0836Vzaxs7ODmFhYUhNTcXKlStrrCCqpQh8fX3Rtm1bZGdncxNlhYWFOov1SV+viIiIWo099UmbNm24C3yHDh3AMAyOHz+OxMTEBiftusTExIR7T+fMmaOTmyErKyuuMtTQvqGPP/4YwcHBCA8PNxhRy9qws7NDdHQ0fv3110ZXAM3MzNC9e3d4e3vD3d0dhYWFOHDgAE6dOoXr169zf7disRhnz55F+/btNfkjUJqIQSZAkZGRSElJwd69ewFU6fS0aNFC61o7vXv3xv79+7XWj6IWEwwICIC/vz+MjY05ZeVTp04hKCgIgwcPRnx8vNadhpuK2icrLy8PixYt0spWjJ2dHVcZatu2LbKyspCUlIS0tLQGlZ1ZluVcx5uDGKObmxumTZuG33//HVu3bq3X99jY2HAj4+qJMvW2ojYv8CKRCJMmTWoWvl4AEBgYiG+//RaHDx+GjY0Nunbtin/++Ydros7LyzOYJmj1e3rjxg3Mnz9f61vDNaHusVL3DZWVlXGNwWfPnq2WkA0aNAhBQUEIDQ2tsxJiCLRr1w7R0dH4448/NHajqbYRMjc3R0pKCuRyOZRKJRQKBU6ePAkfHx+NrEPRHAaZAP3www8oLy/H0qVLueesrKxw6dIlzq9LG3z00UfYtm2b1s7/NE5OTlxlqGXLllAqldi+fTv++OMPg9bNcXNzw5QpU3DgwAFs2LBBJxcM9ci4v78/OnTogJycHG6irC6BRaFQiB9++IGb9DHE6sSTqG04Vq9ejQMHDjTqHKamply1o1u3brh16xaXDGlSrsHY2BghISFQKBSIjY016M8sUNWk/8UXX2DGjBnIysoCUHVnrm6i7t69O8rLy7kmam00BteXFi1aICoqCpcuXUJ8fLxBNOmr+4bUI/ZP9g05OjoiMDAQoaGhet/+fB62traIjo7G3r17632D0RjEYjGUSiXs7e1x9epVBAYG4r333kPfvn3h4OCgtXUp9ccgE6DJkydDLpdj/vz53HO2trZITk7WavPYN998g5UrV2rt/DVhZGSEiRMnwsrKCunp6ejWrRvatGmD06dPc9UOQ2qAVvfQrFq1qtEX6KZiYWHBVTs6deqEq1evcj1WT46Hy2QyTJ8+HUqlEjNmzGiwxpOuefvttzFs2LAm2XA8jUQigaenJzdRVlxczFU7zp8/3+gLq1o08J9//sHcuXMNrhn7aQYMGIAPPvgA0dHRuHjxYo2vUTe7qvuGJBIJ12OVkZGhsx4ra2trREVFISsrC8uWLTOYitTTqPuGevfuDVNTU1y6dAl///13o/qGdEXbtm0RExODP//8E5s3b9bqWup2Bw8PD1y7dg1//PEHfv/9d5w4cQK3bt3Suv7PmDFjsGTJEu5rJycn5OXlAdDPkJEhYpAJ0KxZs5CdnY1ffvmFe87MzAy5ubmwsrLS2roTJ07E3LlztXb+p7GxsUFISAju3LmDefPmcXfQrVq14ipDDg4OyM7O5sQE66sWrA0GDhyIAQMGGFQPjUwm4+5IPTw88M8//yA5ORmXLl3CsGHDcO3aNSxcuNDgL9Aff/wx3n33XcTFxT13iq6xqJvz1dN3LMty1Y6GmNuqfb3OnTuHpUuXGkR1oi6GDBmCt956C5GRkQ3a/nRycuKSodatW+Ps2bOc+KK2eqzUlcrk5GT8/PPPWllDk3z++efo2bMnFixYADs7O65v6ObNm9xnS1t6Qw2ldevWiImJwcGDB7Fp0yatrsXj8XDixAn4+vo+c6y0tFQnflkBAQEICQlBQEAAF5NMJtPbkJEhYpAJ0OHDhzFixAhujPbatWtwdXVFcXExNwqsDeLi4jB9+nStnf9JXFxcMHXqVBw7dgxr1qyp9SJiZWXFNQU7OzvjwoULSEpKeu7Wjybh8Xj49ttv4e7ujpiYGK0IPmoC9XZGr1694OHhgbKyMhw4cADJycm4ePGiQV6oWZbFN998g+7duyMyMlJnvRMsy8LZ2ZmrpJmamiIzM5PzKKttDFrt63X06FGsW7fOYKsTQFXP3VdffQVfX1+Eh4c3SUdLvQXr4+MDFxcXXL58maukaWrLp23btoiKisKRI0eqGU8aKsOGDUOPHj0QGhparc/s6b4h9bZiTX1DukKd/Bw+fBgbNmzQ2joMw4BhGBw5cgSvvvqq1tZ5HgqFAhYWFrh16xaMjY2rHdPXkJEhYpAJkEKhQOvWrTF37lwMHToUI0eOREFBQY0aDZpk6dKlGD16tFbXAP5/G2ndunXYt29fvb/P3NycS4bc3Nxw5coVTnixNuuEpiKVSjFp0iSYmJggJiZGZ6avjUVtv7BlyxbcuHED/v7+8PHxgVKprKY1ZAjSAgKBABMmTEDbtm0RGRmpV7PYpxvOz507xylRq6sdbm5umD59Onbs2IGdO3fqLdb6wLIsRo8eDVdXV4SHh2t0S8bU1BTdu3eHj48P3N3dce/ePW6yMzc3t1GJtoODAyIiIrBv3z6tb81ogi+//BJ+fn4IDQ2t838Pn89Hp06duKkyIyMjZGZmIjU1Fenp6ZrzKauDli1bIjY2FkePHtVqYqlOfg4cOIA33nhDa+vUh4yMDAQGBsLGxgYFBQUIDAzEihUr0K5dO70NGRkiBpkAAVVZ6uDBgyGTyaBUKnH06FF06tRJq2smJyejR48eWq0UfPLJJ+jbt2+Tt5FkMhl8fHzg7++Pbt264ebNm1wypKkqgtoq4t69e5gzZ06Txde0zVtvvYXhw4c/M0WnliJQX+DFYjE3facrl/GnMTIywrRp08Dj8RATE2NQ/UnW1tZcZcjFxQW5ubkoKChAjx49sHr1aq0bRDYVPp/PNb5HRERoVRJAJBLB3d2dc7BXKpXc1k9WVla9tl47dOiAsLAw7Ny50+AFGQHg66+/hre3N0JCQhqcWKrNgH18fNCuXbsm6Q3Vh5YtWyImJgbHjx/H2rVrNX5+Ner+mb1796J3795aW+dp+vfvjyNHjjzz/Pjx47Fv3z7Ex8fD0tISY8eOhUKhwL59+/Q2ZGSIGGwCBAAFBQVIT09HQECAVnt/noQQghMnTmDu3Lk4ePCgxu5QBAIB5zgeExOj0a0OqVSK7t27w9/fH56enrh79y6XDDV26sfJyQnTp09HSkpKrTo0hsSgQYPQp08fzJgxA+fPn6/1dWqBPHUyZGlpiYyMDE6KQBd3pBYWFggLC+O0XfSRgNUXU1NTDBkyBG+++SYIIdU8ygylt+NJhEIhpkyZAmNjY0RHR+t0gECdaKv7hmQyGefKXlu1w9XVFSEhIUhMTMTu3bt1FmtjYBgG33zzDTw9PTkPvaZgZWXFqSt37tyZ6xtS6w019dJkbW2N2NhYJCUlYfXq1U061/NgGAa7du3Ce++9p9V1nubOnTs1Tl9aWFhUc5jPz8+Ho6MjCgsLERsbq5chI0PEoBMgQyA9PR1z5szBn3/+icePG26wB1RdRKZOnQoAmDFjhla1UkQiETw9PTlLjsZ4bnl7e2PChAnYvHlzvdVR9QWPx8OoUaPQuXNnREVFNbgfw9bWFv7+/vDz84OtrS2ysrK43g5t/J7atGmD8PBwTuXb0BPLd955B0OGDMHMmTNx6dIleHl5cSPjJSUl3LZiUybKNIVUKkVISAhUKpVBjOU7ODhwcgTt2rXDuXPnuCbqe/fuoUuXLpg2bRrWrFlj8FU1hmHw7bffomvXrggJCdH4dq26b8jb2xteXl5N7huytrZGTEwMUlJSsGrVKo3GWhPbtm3DwIEDtb5OY3n06BHMzMxw4cIF7Nq1Sy9DRoYITYAawNmzZzF79mzs2bOn3mV1W1tbhISE4OLFi1iyZIlO7/YFAgHc3d25ZKiiogIpKSlISkqq9YLVp08ffPbZZ1i8eDGSkpJ0FmtjEIvFmDJlCkxMTBAdHd3krQ4bGxuuMtSxY0dcuHCB0xrShH5Qx44dERISgj///FPrUyiaYNCgQQgODq7R10s9UabezuDxeNU8ynRd1TIxMUF4eDgKCwsxe/Zsg6uqWVtbV1NXvnPnDqysrLBlyxaDV3xnGAbfffcdOnfuzG2Ja5On+4aMjY25StqpU6eeu11saWmJ2NhYpKen60TWZMOGDRgyZIjW12kIEyZMgJ+fHz766CMAwMGDBxEUFISioiIkJyfrZcjIEKEJUCO5ePEi5syZg127dtXqzu3o6AiZTAZnZ2etCm7VBx6Phy5dunD+ZACQmpqKkydPIjs7GyqVCp9//jlee+01xMXF1aqVYiiYm5sjNDQUjx49wqxZszTen2Rubs71wXTu3BnXrl3jkqHGTP2om7N/+eUXrvnQUGFZluvzqI+vF8uy6NixI5c8mpmZcRNlumh0tbCwQGRkJK5fv44FCxYYRIN7XQQGBmL06NG4evUq2rVrh4cPH3JVx8YYJ2sTlmUxatQouLi4IDQ0VC+Nsuq+IW9vb9jZ2SEnJ4frs3p6G87S0hIxMTHIzMzE8uXLtR7bqlWrMHz4cK2v01DWr1+P6OhorFq1CgqFAqNGjUJAQAD3tT6GjAwRmgBpgKtXr2LOnDnYuXMn7typciU2NjZGRUUFHB0dDS6ZYFkWrq6u3NaPWCxGaWkpeDwewsPDDV7JtW3btggLC8PZs2fx008/ad0iwNjYmOuxcnd3x7///sslQ/Xpg3njjTfwzTffYPHixQZvccLn8/H999/D0dGx0b5ednZ2XPLYrl07ZGdnc1tlmm5ItrGxQWRkJM6ePYtly5YZVPJQEz169MCYMWOwYMECpKSkcPYJ6gs8AM7BXh+VtCdhWRZjxoxBhw4dEBoaqlN/udqwtLTkKkNP9w0VFhYiJiaG+yxo+9L2008/4dtvv9XqGk1h6tSpSEhIgEwmw4ABAxAXFwcjIyMA+hkyMkRoAqRh8vPz0b9/f05qX6VSgWEYg9VLUfsNSaVSKJVKmJiY4NSpU1xTsKFNfrm5uWHq1KnYu3cvEhMTdb6+WCyGh4cH/P390b17dxQXF3PJUE137++//z4++OADzJgxA9nZ2TqPtyGIRCJMnjwZpqamiIyMbHTP25OoJ8p8fX3h6uqKvLw8ron6SdXuxqDWzTl+/LjWm1w1weuvv45vvvkGc+bMQUZGxjPHn9Rm8vX1hYWFBTcyrmtFeJZlOYPbsLAwg0h+nkYqlXJ6Q927d4dIJMKtW7ewZs0aZGVlabUSuGDBAowbN05r59cF+hgyMjRoAqRBioqK8Mknn+Dq1avYvXs3jIyMMH/+fGzevBnXr18HAINKhtq2bYvQ0FBcuHAB8fHxUCgUcHBw4FSora2tq1ly6GJCqi4CAgIwZsyYJvlkaZInlZV9fX1BCEFqaiqSkpKQnZ2NoUOHokePHs3CgFXt6yWXyxEXF6eVBmITE5NqHmV37txpUCXtSZycnBAeHo69e/c2C90ctc1JXFwczp49W6/vadeuHfd+OTo6Iicnh9sq06bVBMuyGDduHOzt7bltZkPG3NwcMTExuHPnDm7fvl2tbygtLQ3p6ekalZmYOXMmJk+erLHzUfQHTYA0hFKp5O7atm7d+ozPy4MHD7Bo0SJs2LCBG03XZzLUuXNnTJkyBXv37q21Ibdt27ZcMqSekEpKSkJqaqpGqgMNoW/fvhg8eDDmzp2LU6dO6XTt+qDeVlQLVZqZmaGyshLr1q3DkSNHUFFRoe8Qa0Xt63X79m3MmzdPJ7YhatVutUdZWVkZt0127ty5Orey1IKMW7Zswe+//671WJvKO++8g8GDByMmJqbRNieWlpac5Uvnzp1x48YNLhnSZHLN4/Ewfvx42NraIiwszOCTH1NTU8TExCAvL6+aaax6As/Hx+e5fUMNISoqCqGhoZoKn6JnaAKkQU6cOAEfHx8IBII6X/f48WMsWbIE69atQ25uLgghOk2GXnvtNYwcORIrV67EoUOH6vU9LVu25C7uTk5OOH/+PGfJoc3yOMMwGDZsGHr27Mn9ozNkJBIJpkyZAnNzc5w+fRpeXl6wtLTkmoINoZL2JC1btuR6aPQ1ls/n89GlSxduoozP53N9ME8LVXp4eGDSpEkGUwV8HgMGDMD777+PqKioZybpGouRkREnR+Dp6YmioiLu4n7+/PlG98TxeDz88MMPaNWqFcLCwgzKhLkmTE1NER0djStXrmDx4sW1fnaf7Bvq1KkTbt26xckRNERvaNq0aYiNjdXkj0DRMzQB0jPFxcVYsWIFVq9ejfPnz2s9Gfr444/x3nvvYdasWVyfUkOxtLSEr68v/P394erqikuXLnHJkCZL8wKBgCvFR0dHa83uQ1OYmppyd82zZ8/m+qfUlbQnm4LVlTR9mts6ODggPDwcf/31F9atW6e3OJ6EYZhqE2Xm5ubIzMxESkoKAGDkyJFYsmRJs/At+uSTTxAcHIyIiAitbYE+LUfA5/Nx6tQpLnmsbw8fn8/Hjz/+CGtra4SHhxt88qOWvsjPz8fChQvrnbg/2Tek1htKS0tDampqnX1DP/zwg06Nsim6gSZABkR5eTlWrVqFn3/+GVlZWRptoObz+fjuu+/QpUsXREdHcz1JTcXU1BS+vr4ICAjgxsXVKtRNaXI1NjbG1KlTwePxEBsba/D/kNUO6RcuXMCSJUtq/UeqbgpWm9tevHgRSUlJWu/reBr1NtL27dsN2n6hXbt28PPzQ69evWBlZYWrV6/iwIEDSElJMWjvoqFDh+K1115DeHi4zgxuGYZBhw4duAk8KysrnDlzBikpKUhLS6t1O4vP52PixImwtLREeHi4Qdmy1IRMJkNUVBQKCgowf/78Rlct+Xw+p9zt7e0NmUyG5cuX459//sGNGze4Su3o0aMRHx+vyR+BYiDQBMhAqaysxC+//IKEhARkZmZCqVQ2OhkyMjLC5MmTYWRkhJiYGK1tWRkbG3P+ZO7u7rh16xaXDOXn59f7PFZWVggLC8OtW7cwb948gxO1exonJyeEhobiyJEjDXJINzMz496vLl26ID8/n1Pt1qYUgVrpu7lsI6nVqJctWwZTU1P4+fnB1dUVly9f5pqomzpRpkm+/PJL+Pv7c59hfdGmTRuuMtShQwdcvHiR2/pRu7fz+XxMnjwZZmZmiIiIMKjt2ZowNjZGVFQU/vnnH8ybN0+jEhgODg4wMTHBvXv3cPv2bahUKvj5+WHTpk1wcHDQ2DoUw4EmQM0AhUKBLVu2YOnSpUhLS2vQeKe1tTVCQ0Nx+/ZtzJ8/X2dj7RKJpJo/2f3797ltsrr6eBwcHBAaGork5GT8/PPPBq/r0q1bN0yePBlbtmxpkm2IkZER1+Sq9nNTJ0Oa9NxS938tWrTI4JW+AWDgwIHo16/fMz00JiYm8Pb2hp+fHzdRpm6i1lefGMMwGDlyJLp164awsDCdVvSeh7m5Off56tq1K27fvo20tDS4ubmBx+MhMjLS4JMfIyMjREVF4d9//8XcuXO1rv/l4+MDU1NTHDlyBM7OzujXrx/ef/99eHp6anVdAPjtt98wfvx4XL9+HV5eXli7di1cXV0BAGPGjMGSJUu41zo5ORl8b6ShQhOgZoZSqcSuXbs4q4q6JnZsbW3x2Wef4e7du1i1apXekgmhUMj5k6k9pNQX9wsXLnAVE3d3d0yaNAnbtm0z6G0ZNa+++ipGjRqFn376CceOHdPYeUUiETw8PODn5wdvb2+UlpZylY6cnJxG/x779u2LQYMGYebMmY3u/9IlQ4cOxeuvv46IiIg6K4hqbSY/Pz90796dmyhLSUnBuXPntH6hBP5fNLBjx44ICwurVR3eEJBIJPDx8cHnn38OU1NTPHr0iHu/srOzDVJJ28jICJGRkbh//z7mzJmj9Rg/+ugjbNmyBUCVj9aff/6J3377DXw+H+vXr9fq2pcvX4a3tzcSEhIQGBiIMWPGoKCgACdOnABQJQcSEhKCgIAAAFXN6zKZTKsxvajQBKgZo1KpsG/fPixcuBB///13tVFre3t73L59Gx07dqy37ogu4PP56NatG/z9/eHj4wOFQoGUlBSUlZWhT58+Gk8mtIU6mZg9ezZOnz6ttXXUE1Lq9wuosjBJTk5ukNjb4MGD0bt37xp9vQwNteu4l5cXwsPDue2a+sDn89G5c2dOTFAgEHAeZU9PlGkKHo+HCRMmwNbWlvMjM2SEQiGmTZsGkUiEuLg4ODo6cltlEomEa6LOyMjQu6EsUNW4HBERwdneaDv56devH3799VcwDKPVdWpj9+7duHnzJkaOHAkA+Ouvv9C7d29UVFRAoVDAwsICt27dgrGxsV7ie5GgCdALAiEEhw4dwvz583Hw4EHI5XIIhUKD7p9hWRadO3fGp59+ivbt26OsrIzrGTpz5oxB3okCVZWJN998E9HR0TotPbMsCxcXF25CytjYGOnp6UhKSqp14qehvl76hsfjcfYL4eHhTTLefHKizNfXFy1atKjmUaaJZl91A7GVlRUiIiJ0ro/VUIRCIUJCQsDn8xEVFVXtM8MwDJycnDjxxdatWyMrK4trotZHYieRSLjG7JkzZ2r9f0Lv3r2xd+9evSU/NZGQkID4+HicO3cOGRkZCAwMhI2NDQoKChAYGIgVK1agXbt2+g6zWUIToBcIpVKJCRMmYPPmzYiKisK+fftw8OBBg93bZ1kWI0eOhKenJ2JiYiCRSDjhRalUirS0NO7ibgiJHI/Hw6hRo+Dm5obIyMgGVSa0gZOTE5cMPanarb64q329HBwcEBERoXUX76YiEAi4UWz1Hb8msbW15d4vOzs7nDt3jtv6acyWlVAoxOTJkyGTyZpFD41IJEJISAgYhkFMTMxz+wFbtmzJVdKcnZ2Rl5fHvV8FBQVaj1csFiM8PBylpaWYOXOm1gU633jjDRw8eFBnyU///v1x5MiRZ56PiYnB6NGjAVQNw7i5uWH8+PEYNWoUNm7ciPj4eMTHx8PS0hJjx46FQqHAvn37dBLziwZNgF4QSkpKMHjwYFy6dAl79+6tNrWQlpaGOXPm4M8//zSYcXKRSMRd7KKiop65ALVv355LhiwsLDh/svT0dL34k4lEIkyaNIlzHtenfk9NtG3blru429vb4/z58zA3N4dCoUB4eLjBVybEYjGmTp0KkUiE6OhorScTVlZW3Li4eqJM3URdn4u7WCzGtGnTwOfzER0dbRBbRXUhFosREhIClUqF2NjYBiuTm5qack3U3bp1w927d7lk6NKlSxrXLROLxQgLC0NlZSViY2O1nvz06NEDf//9t04rP3fu3Knxc2NhYQETExMAwKRJk7B//36kpaXVKLCbn58PR0dHFBYWct9DqT80AXpBuHPnDiZOnIhFixbB3Ny81tdlZWVh9uzZ2LNnj94u4qampggJCUFZWRlmzZr13IudnZ0dlwy1atWKq3Skpqbq5K5bJpMhNDQU5eXlmDlzJkpLS7W+ZlOwt7fHtGnTIJVKIZFIcOnSJa6J+s6dO/oO7xmMjIwQGhqKyspKxMXF6TzBlclk3ESZu7s7/v33X86wNS8v75mLu1QqRUhICBQKRaOSCV2jTibkcjliY2ObXE0Vi8Vwd3eHr68vunfvDoVCwfVZZWVlNTlZEYlECA0NhVKp1Ei8z8Pb2xvJyclgWVar6zSUAwcO4IMPPkBycjLc3NxqfM2jR49gZmaGCxcuwNnZWccRNn9oAvQSc/HiRcyaNQu///67zqZWWrdujbCwMFy6dAmLFy9u8J5+69atERAQAH9//2qqyikpKVrxLbK2tkZYWBjy8/OxYMECg+1LUmNhYcE1Ds+bNw9SqZTbxujatStu3LjBJUOaEsNsCqampoiIiMDdu3cxZ84cnfiQ1YV6okwtjvf0RJm6J+Xx48eYNWuWQWzN1oU63vLycsTFxWk8Xh6PB1dXV+4zJpPJkJGRgZSUFJw6darBNyhCoRChoaEghCAmJkbr76+7uzvS09PB4/G0uk5DuXLlCvz8/LBgwQIMGTKEe37ChAnw8/PDRx99BAA4ePAggoKCUFRUBKlUqq9wmy00AaIAqPqDmzNnDnbu3Kk1/ZKOHTsiJCQEBw4cwIYNG5pcNre2tuYqQx06dEBOTg6nNaSJhM7Ozg7h4eFISkrSq4xAfWnVqhUiIyORlZVVo6+X2kNKrc107949LhnSx2SYpaUlIiMjkZeXh8WLF+tkXL0hPD1RJhQKQQjBrVu3EBUVZfA9P1KpFGFhYVwPjS6SNQcHB+79srW1RXZ2NtdE/bweNHWDNsuyiI6O1nplrVOnTjh9+jT4fL5W12koZWVl8PLywiuvvIL58+dzzxsZGeGXX35BdHQ0Vq1aBYVCgVGjRiEgIACrVq3SY8TNF5oAUZ7h5s2bmDNnDrZv364xJVsfHx+MHz8e69ev10rDnoWFBWfW6ubmhry8PG6irDHbPp06dcK0adPw66+/Yvv27RqPV9M01NdLKBTCw8MD/v7+XKVDnQydP39e68ley5YtERUVhczMTCxfvtzgk0sLCwvMmDEDlZWVYFkWlpaWOH36NGdwa2j2EUZGRtUqVfqorKltX3x8fODm5oarV69y1bSnq4/q0XyBQIDo6Gitb4N27NgR2dnZzzWu1ge7du3CgAEDnnn+6tWrsLe3x9SpU5GQkACZTIYBAwYgLi4ORkZGeoi0+UMTIEqd3LlzB/Pnz8fmzZu5f1oNteQIDg7G0KFDsXDhQs7UUpuYmJhwFhPqbR91MlSfMXB/f3+MHTsWP//8Mw4dOqT1eJtKU3291JUOdRM1y7JITU3VmhyBurJ29OhRgzFhrQtLS0tERUVxPm8qlQq2trZcE7W66Vx9cdf3tJ2RkREiIiLw8OFDnejm1AeZTIbu3bvD19cXHh4eKCws5N6vy5cvY8qUKRCJRM+M5msDBwcHnD9/HmKxWKvrUAwfmgBR6s39+/exaNEibNiwgXO3fl4yNGjQIAQHByM2NhYXL17UVagcaosJf39/eHh44M6dO1wyVJNDd+/evfH5559j/vz5SEtL03m8DUXt67Vq1SocPHiwyedjWRbOzs5cNU2tNZScnIyMjIwmX5w6dOiA0NBQ/P77782ismZjY4Po6GhkZGRg+fLlNX7WLS0tuWTIzc0NV65c4SbKdK27ZGxsjMjISNy7d08nismNQSgUolu3blyflVQqRUlJCVauXIm0tDStbtXZ2tri4sWLkEgkWluD0nygCRClUTx69AhLlizB+vXrkZubC0JItWSIx+Ohffv2sLS0xNWrVw3CrFIsFnM9MF5eXnj06BGSkpJw8uRJ5ObmYtCgQejTpw9iYmL0kqw1FLWv18KFC5GcnKyVNRwcHODv7w8/Pz+0bNmy2rZPQyUVOnfujGnTpmHjxo3Ys2ePVuLVJK1bt0ZUVBTXA1Yf1BNlvr6+cHd358bF1R5l2vx3q9YjunPnDubNm2eQyc+T8Pl8TJkyBTY2NsjKyoKXlxfMzMyQmZmJ1NRUpKena1S2o1WrVsjNzaXbRRQOmgBRmkxxcTGWL1+O1atXIycnB4QQiEQiGBkZobKy0uD6I4Cqu1B3d3fOYoLH44EQguXLl+PYsWMG35OituKYMWOGzqxO2rRpw22TOTg44Ny5c1zf0PNUgr28vPDjjz9i5cqVOHz4sE7ibQrt2rVDZGQkDh06hA0bNjTqHE96unXv3h0VFRVcMqRpjzITExNERkbi1q1bmD9/vsE1lD8Nn8/HpEmTYG5uXs2Fvl27dlwTtXqrSu1g35ThDGtra+Tl5VHPLEo1aAJE0Sh5eXno2bMnSkpKUFxcDJVK1eCeIV0iFArx448/wt7eHjk5OXB3dwchhDNrzc7ONriLidrXKyoqSm8u0OptH39/f7i6uiI3N5dLhv75559qr+3RowfGjBnTbBzoHRwcEBkZid27d2Pr1q0aOSePx+P6rNQTZeqtxczMzCZNPJmamiIqKgo3btzAggULDO7z+jQ8Ho+zDwkLC6t1ms7S0hI+Pj7w8fFB586dcePGDa5vqKbt69po0aIFLl++DFNTU039CJQXBJoA1cH9+/fRvXt3/PXXX7C3t+eez87OxrBhw5CXl4evvvoKs2fP5hRE6zr2onP27FkEBwcjODgYy5Ytg0qlwvr165GQkIDMzEyDS4aMjIwwffp0AEBsbCxKSkrAsizc3Ny48XqBQFCtIVifOjUsy+Kbb75B9+7dER4erhM7gvqgVglWN53fvHmTS4Y6dOiAL7/8EnPmzEFGRoa+Q30uag+y7du3Y9euXVpZg2EYtG/fnqumqSfK1OPiDdn2MTU1RXR0NK5du4aFCxcafOWSx+Phxx9/hI2NDcLCwupdHVZLOPj6+sLT0xNFRUVcMlTX1KKZmRny8vLQokULTf4YlBcEmgDVwr1799C3b18kJydz44cAUFFRARcXFwQFBWHixIkYO3YsBg4ciGHDhtV57EWnsLAQ7du3x/fff4/Q0NBnkj65XI4tW7bgp59+QlpaGhQKhV6ToRYtWiAsLAz//PMP5s2bV2MNIyU1AAA0XklEQVTjpdpMUy28+KT5aEZGhk4VgPl8PsaNGwd7e3uD9vWSSqXo3r07/Pz84O3tDR6Ph7///ht79uzhesUMFfU03aZNm3Tao6S2MXl62+d5E2Xm5uaIiorC5cuXsXjxYoNPfliWxQ8//MCJoTa2v0cgEKBr167ciD3LstizZw8yMzNx7do17m/ZxMQEly5dgo2NjSZ/DMoLBE2AaqFXr17o27cvxo0bVy0B2rVrF4YPH46bN29CKpXizJkzGDVqFI4fP17nsZeBCxcuwMXF5bmvUyqV2LlzJ+Lj45GcnKzzqkrbtm0RHh6OzMxMJCQk1PvCoTYf9ff3h5WVFTIyMjh/Mm3aY4jFYkyePBnGxsaIjo42eF8vAPj444/xzjvvYPv27bC3t4ePjw8qKiq4ytC5c+cM6oLdtWtXTJ06FatXr8aBAwf0Fod6a9HX1xdubm64du0a9549OVFmbm7ONeurR/MNGZZlMX78eNja2iI0NFRjzc0sy6JDhw6wtrbGxYsXuV40hmGQmpqKbt26aWQdyosJTYBq4cqVK3B0dATDMNUSoMjISKSkpGDv3r0AAEIIWrRogQcPHtR5jFIzKpUKe/bswaJFi/D3339rXa3W2dkZ06dPx969e7F58+ZGn8fW1pbbJmvbti3OnDnD+ZNpcnJFJpMhJCQEFRUVevHJagzDhg3Dq6++ivDwcNy4cQPAsz0wfD4fqampSE5O1vvWorpBOyEhAUePHtVbHE+j1s5Re5Tdu3eP2/IZPnw4cnJysHTp0maR/Hz//fewt7dHaGioVhN4gUDA2XNkZWXB398f/fv3R79+/dC+fXutrfs0L3MrRLOCvMT069ePmJqaPvOIj4/nXgOAXL16lft6woQJ5Lvvvqt2HktLS/LgwYM6j1Gej0qlIvv37ye9e/cmYrGYANDow9vbmyQmJpLevXtr9LytWrUiAwYMILNnzybbt28nkZGRpHfv3sTMzKxJ57WwsCCLFy8mkydPJgKBQOPvh6YfLMuS7777jixfvpy0bNmy1tcxDEOcnZ3JF198QZYvX04SExPJjz/+SHr06KGV33tdD19fX7J582YSEBCg9/evrodIJCJ+fn5k0qRJZOfOnWTz5s1kxIgRpFu3boTP5+s9vro+E+PGjSPx8fHE1NRU6+uJxWKSl5dHCCGkoKCAJCQkkN69exORSERu376tk/9j5eXlxN7enowYMYLk5eWRPn36kNWrV+tkbUrDeKkrQHfu3EFZWdkzz1tYWMDExAQAnqkATZ48GXK5vJpHi62tLZKTk7F48eJaj7Vp00a7P8wLBiEEx48fx9y5c3Ho0KEm+y69+eab+Oqrr7B48WKtTiJZWlpylSFnZ2dcvHiRE15sSN9O69atERERgTNnznAN5YYMn8/n7vIjIiIa5MXm4ODANQS3atWKq6Y1RmuoIbz66qsYNWoU5s2b1yxELy0tLRETE4OsrCycOHGC2yoTi8WcG7uue9PqgmVZjB49mhO/fPjwodbWYhgGAoEAZ8+eRceOHZ85XlJSojP9n5e9FaI58VInQPXh6QRo1qxZyM7Oxi+//MK9xszMDLm5uVi9enWtx6ysrHQd+gtFWloaZs+ejf/9738NvigOHDiQ88w5d+6cliJ8FnNzc25UvFOnTrhy5QqXDD09Kv4kal+vw4cPY/369TqLt7EIhUJMnDgRFhYWiIyMbNIWR+vWrbn3zNHREefPn0dycjJSUlI0YnCr5o033sDXX3+NWbNm4fTp0xo7r7awtrbmFKlXrFjBNZOrJ8rUStRWVlaNnijTJAzDYNSoUXB1dUVISMhzdaKauhafz0dGRgY6d+6stXXqC22FaD7QBOg5PJ0AHT58GCNGjODcs69duwZXV1cUFxfj6NGjtR7j8Xj6+hFeOE6fPo05c+Zg7969dd5VMgyDnj174rPPPkN0dDTy8/N1F+RTyGQyzp+sW7duuHnzJpcMqftkgP83YW2sr5euEYvFmD59Ong8HicloCmetpjIy8vj9JnqSiCfR1BQED7//HPExcUhOztbY/FqC7UdR1paGlauXFnna9u2bctVhhwdHZGTk8MlkLqaHGQYBt9++y06d+6MkJAQrV/41f1kHh4eWl2nvvzwww8oLy/H0qVLueesrKxw6dIlmJub6zEyytPQBOg5PJ0AKRQKtG7dGnPnzsXQoUMxcuRIFBQU4I8//qjzGEU7XLhwAbNnz8bvv/9erULAsizat2+Phw8fQqVSGdTYuHpU3N/fH56enrh79y6Sk5Px+PFjDBo0SGO+XtrG2NgYYWFhKC0txYwZM7S69aI2uFVbTBQUFHDTUdeuXav3efr27YtPPvkEUVFRzcLupGXLloiOjkZycnK97TjUqIUE1Qlkfn4+9549mXRrEoZhMGLECHTr1g0hISEardrVBI/H47YDDYW62iRoK4RhQROg5/B0AgRU7fEOHjwYMpkMSqUSR48eRadOnZ57jKJdLl++jDlz5mDHjh24d+8eWJYFj8fT64TR8xCJRPD09ET//v3RsWNHPHr0CEePHsXJkydx6dIlg9XNMTMz46wXdO07JZFIOE83T09PztMtOTm5zvfsgw8+QP/+/REREYHLly/rLN7G0qpVK0RHR+PEiRNYs2ZNk85lbGzMTZR5eHjg3r173BSeJj9nI0aMgIeHB0JCQrR608EwDFiWxdGjR9GjRw+trdMY6mqToK0QhgVNgBpJQUEB0tPTERAQ8MyHuq5jDWXt2rU1CimuWbMGX3zxBcaMGYMlS5Zwzzs5OenNHsEQuH37NoKDg2FhYQEXFxfs2rULt2/fBvB853p98d577+Hjjz/G3LlzwePxOH+yyspKbsunLrVbXWNlZYXIyEhcvHgR8fHxeo1L7Szu7+8Pb29vyOXyalpDaluIQYMGISgoCBEREQ2qGOmL1q1bIzo6GseOHcO6des0em6hUFjNo0wul3PCi9nZ2Y1OZr/++mt0794dISEhuHv3rkZjfhKGYcAwDA4ePIjXX39da+s0lrraJGgrhGFBEyADp7KysprIXnFxMTw8PJCSkgJHR0cEBAQgJCQEAQEBAKpKwi+r4d+lS5cQFBSEwMBArFy5EgKBAADwzz//YP78+di8eTNX+jeUZGjIkCF4++23OUVfNWrdHLUTO8MwSElJQVJSEs6ePas3p2+1Q3pqaipWrlxpEO+hGh6Ph06dOnETZQKBAGlpaZBIJHB2dkZYWFg1MUFDpU2bNoiOjsbhw4cbbcRaX9TvmbpvSCKRVPMoq6/u1JdffglfX1+EhIQ0ybT0eai1dPbt24egoCCtrdMUaCtE84EmQM2MuLg45OfnY/ny5VAoFLCwsMCtW7dgbGys79D0zqxZs1BYWIgZM2bUKjp2//59LFy4EBs3buQMFfWRDLEsixEjRsDT0xMRERF1+nqxLAsXFxduvF499pyUlITTp09rXTxSjXrE/eDBg1q/MDcVhmHg7OyMr7/+Gvb29pDL5Th16hSSkpJw6tSpGuUvDIG2bdsiOjoaBw4cwKZNm3S+vtqjzNfXFzY2Njh9+jSSk5PrnCgbNmwYdyN2584drcbHMAx27dqF9957T6vrNBXaCtE8oAlQM6K8vBx2dnZISUmBvb09MjIyEBgYCBsbGxQUFCAwMBArVqxAu3bt9B2qXiCENEht9dGjR4iPj8f69eu5crUukiE+n4/x48ejXbt2iIyMbFCvhHrsWe1PZmpqWu3Cri2laGdnZ4SGhmLnzp3YuXOnVtbQJCzLYuTIkejatSvCwsIglUq5ylCbNm1w5swZJCcnIzU11WCsRdq1a4eoqCj8+eefTVIp1xRt2rThpvCcnJyqTZSpt7g+//xzvPrqqwgJCWnSZF592bZtGwYOHKj1dTSBJlshKNqBJkAGQv/+/XHkyJFnno+JicHo0aMBAKtXr8Zvv/2G3377DQCwceNGxMfHIz4+HpaWlhg7diwUCgX27duny9BfCIqLi5GQkIDVq1fjwoULXDKl6T8PsViMKVOmwMjICFFRUU3WaXFwcOAqQ9bW1jh9+jQnIqipkXS1T9b69eubxWeLZVmMHTuWE+B7egy7VatWXDLUvn37alpD+poWtLOzQ1RUFPbu3YstW7boJYa6aNGiBTdR1qlTJ+Tn56O8vBxt2rTB1KlTuT47bbJhwwYMGTJE6+tQXh5oAmQg1EeV2sfHB5GRkQgODq7xHPn5+XB0dERhYSH3PZSGU1ZWhlWrVmHlypXIzs6GSqXSSDIkk8kQGhqK8vJyrfh6tW3blkuGbG1tkZWVxfmTNbbK4e3tjQkTJmD58uU1JuiGhrq61rZtW4SFheHRo0d1vr5FixbVtIbUYpUpKSm4deuWTmJ2cHBAZGQk/vjjD2zbtk0nazYFY2NjjBkzhtPdUXuUaXqi7ElWr15d4zAIhdIUaALUTMjLy4OPjw/u3LnDNfc+zaNHj2BmZoYLFy7A2dlZxxG+mFRUVGD9+vVYvnw5MjMzG50MtWjRAhEREbh586ZOxsZtbGy4ZEhd5VALL9ZXlbdnz5747rvvsGDBAqSkpGg1Xk0gEAgwceJE7r1uaHVNJpPB29sb/v7+cHd3x61bt7iJMnW/mKZxdHREREQEdu3a1Sy2FgHgk08+QVBQEDft5eHhAV9fX24KTz1e35SJsidZtmwZRo4cqYHIKZTq0ASomRAXF4cLFy5Us0aYMGEC/Pz88NFHHwEADh48iKCgIBQVFUEqleor1BcWuVyOxMRELFu2DGlpaVAqlfVKhtS+XqdPn0ZCQoLOx8ZbtGgBPz8/+Pv7w9XVFbm5uVwyVNvEzttvv41hw4Zh5syZOHPmjE7jbQxCoRBTp06FVCpFVFRUk7f/JBIJPD094e/vDy8vLzx69IiTJNBUlcPJyQkRERHYsWMHdu3a1eTz6YKPPvoIffr0QUhIyDMTdTweD25ublwTtUQiwalTp5CcnIyMjIxGVTwXLlyI77//XlPhUyjVoAlQM6Fnz54YNmxYtTLw+vXrER0djVWrVkGhUGDUqFEICAhosGIspeEolUrs3LkT8fHxSE5OrlVssU2bNrC3t4e9vT02btyo4yifxdTUlPPa6tKlC/Lz85GUlISTJ09yWz79+/fHhx9+iOjoaFy4cEHPET8ftR0Hy7KIjo7W+NaiQCBAt27d4OfnBx8fHygUCm7LJzs7m9Maagjt27dHREQEtm7dit9//12j8WqLgQMHom/fvggNDcX169ef+/onPcpsbGy4xvO0tLR6bcnOmjULkyZN0kToFEqN0ASoGVBWVgYzMzOcOXMGLi4u1Y5NnToVCQkJkMlknOGnrlyPKVWoVCrs2bMHCxcuxPHjx7mxdBMTE1RWVsLJyUmnJqz1xdjYuNqWz+3bt1FcXAw7OzuEhoZqbdtHk0ilUoSFhaG8vFzrdhxAVYP1k1pDIpGI2/KpryRBhw4dEBERgc2bNzcbbZj3338f/fv3R2hoaKM89Vq3bs1Vhtq3b4+cnBwuiaxJNDEqKgqhoaGaCJ1CqRWaAFEoGoQQgoMHD2Ly5MnIzMzUdzj1RiKRYOLEiZxWyf3797ltMkNVFpfJZAgPD0dhYSFmz56tc8sThmHQoUMHbnvR3NwcGRkZSE5ORnp6ejUBUzVqQcZNmzZhz549Oo23sfTv3x/vv/8+wsLCNKKibWFhwQkvZmRk4NSpUzAzM0N+fj6Ki4sxbdo0xMbGNj1wCuV5EAqFolFWr15NjIyMyM6dO8nRo0dJ3759iVQqJQAM8sGyLBkzZgxJSEgg1tbWRCgUEl9fXzJu3DiyceNGsmLFCjJ8+HDi6upKGIbRe7wAiKmpKVm4cCGZPHky4fP5eo8HALGzsyMff/wxWbBgAdm2bRsJDQ0lvXr1IqampgQAcXFxIRs3biTBwcF6j7W+j/fee4/88ssvxMHBQSvnl0qlxMXFhdjY2BAAxMzMjPz444/kxIkTRKlU6uTvddeuXcTBwYHweDzi4+NDzp8/TwghZPTo0dVidXJy0kk8T+Ps7EwOHTpEfv31VwKAFBUVkR9//JGMGTNGL/G8SNAEiPJc6vpHcPbsWdK9e3fuH5dKpdJjpPpn7ty5xMTEhBw+fLja8yqViiQnJ5OBAwcSmUym9wub+sHn88mkSZPI4sWLibm5eY3Hvby8yOjRo8n69evJ6tWryYgRI0jXrl0Jy7J6idnc3JzEx8eTCRMm6C2G5z1atmxJ+vfvT2bOnEl27NhB5s+fT7Zu3Uref/99vcdW30ffvn3Jhg0biJOTk07WGzFiBNm1axf5/PPPiYWFBWnZsiUZMWIEuX//vtb+XvPy8oi5uTnZsmUL+eeff8iHH35IAgICCCGE+Pv7kz179pDCwkJSWFhIHj9+rLU46mLQoEFk2bJlZMaMGaRHjx4kPT2d9OvXj6xevVov8bxI0C0wynOpzW+soqICLi4uCAoKwsSJEzF27FgMHDjwpdbrWLlyJTw9PeHl5VXn606fPo3Zs2dj7969z9Wq0RZCoRBTpkyBTCarlygjy7KcP5mvry/4fD5SU1ORlJSEM2fO6MSfzMrKClFRUTh37hx++ukngzGIrQt/f3+MHz8ed+7cQatWrXD16lVuokxXWkMN5Z133sHgwYMRHh6uky3Qr7/+GitWrOC+VigUOHbsGHbv3o1Zs2bVKv3RVHbv3o2bN29yY/Z//fUXevfujZKSEoOxGZozZw5u376NwsJCODs7o127doiNjcWmTZvQrVs3vcbW7NF3BkYxbORyOZHJZKSoqOiZY7/++isxNzcnJSUlhBBCTp8+TXr06KHrEJs9586d4+56oaO7e6lUSmJjY0lMTAyRSCQN/n6GYYirqysZPnw4WbFiBdm4cSMZP3488fPzI0KhUGtVlRUrVpARI0YYzFbc8x5dunQhiYmJ5M033yQAiEwmI2+88QaZNm0a2bp1K1m8eDEZPHiw1raYGvMIDg4mGzduJB06dNDJekOHDtX3nyDHsmXLiJubGzl16hQxNjYmTk5ORCwWk6CgIJKfn6+XmA4cOEDeeecd8tZbb5Hjx4+T6dOnE1NTU1JZWamXeF4kaAJEqZO6/hFERESQ4OBg7rUqlYqYm5vrK9QXgtzcXPLNN98QKysrrV1wZDIZmTt3LgkNDdVYsuLk5EQ+/fRTsnTpUrJ582YyadIk8uqrrzYquarp0aZNG7Jq1SoybNgwvScI9X107dqVJCYmktdff73G42KxmAQEBJAJEyaQxMREsmLFCjJs2DDi6uqqt629t99+m2zcuJE4OzvrZL2PPvpI339yHBUVFcTJyYksWbKEbNiwgfj6+pLU1FRy5coV8u6775LevXvrJa579+4RR0dH8uabb5J///2XeHl5ES8vL73E8qJBEyAKIYSQfv36EVNT02ceERERtf4jmDBhAvnuu++qncfS0pI8ePBAHz/CC0d+fj4ZM2YMadWqlcYuOObm5mTx4sVk4sSJWmsetrOzI5988glZtGgR2bp1K5k+fTp54403iLGxcaPPt3btWjJ48GC9JAWNebi7u5PExEQSGBhYr9cLBIJqvVZr1qwhI0eOJO7u7jpr8n7rrbfIpk2biIuLi07W69+/v0H1DE6cOJF069atxsrKtWvXCMuy5NGjR3qIjBBbW1vy8ccfE0IIMTMzI19//bVe4njRoD1AFAD18yIDqvuNxcbGQi6XY/78+dxxW1tbJCcno02bNjqJ+2Xhn3/+wdy5c7FlyxZOgbehlhzW1taIiopCdna2zvpnWrduzVly2NvbIzs7GydPnkRKSkq9ep/UVhHNxScLADw8PDBp0iQsW7YMx44da/D3syzLKSr7+flBIpEgLS0NSUlJyMzMrJfWUEN588038dVXXyE6Ohrnz5/X+PmfJjg4GHv27AHDMFpfqz4cOHAAH3zwAZKTk+Hm5vbMcX3bDPXr1w/dunVDVFQUvL298eWXX1J7EE2g5wSM0sx4+PAhAUAuXLhAZs6cST799NNqx01NTcm///6rp+heDu7evUumT59O7O3tubvp5/XEqLeQvvzyS731z1hbW5P33nuPzJgxg+zYsYPExMSQd955h7Ro0aLG1zs7O5ONGzeSfv366SXexjy8vLzI5s2bSY8ePTRyPoZhSIcOHchnn31GfvrpJ7JlyxYyefJk0rNnT2JkZKSRNV5//XWSmJhIOnXqpJP36I033jCoys/ly5eJlZUV2bBhA/fc+PHjyZYtW7ivDxw4QFiW5fodKS8GNAGi1Eld/wgOHTpE2rdvzx27evUqEYvFRKFQ6CPUl5KHDx+SqKgo0r59+2oXzScvOG3atCGtW7c2qBFsc3NzEhwcTKKiosj27dvJrFmzSP/+/Tk9GDc3N7Jp06ZmpZnj7e1NNm/eTAICArS2Rrt27chHH31E5s+fT7Zt20bCwsLI22+/zWkNNfTx2muvkcTERNK5c2edvEevvPKKQSU/paWlxNXVlXz99dekqKiIe6xdu5a0b9+eHD16lBw6dIi4uLiQ4cOH6ztcioahCRClTtatW1frPwK5XE6srKzIunXrCCGEjBgxgrz77rv6DPel5vHjx2T27NnVBAuFQiERCoU66+tozMPExIT06tWLhIaGkm3btpFly5aRbdu2kYEDB+o9tvo+fH19yebNm4mfn5/O1rSxsSH9+vXjKmqxsbGkb9++9W6g79mzJ0lMTCRdu3bVSbw+Pj46EzesL2pxwacfV69eJVOmTCFmZmbE1taWjB07lhQXF+s7XIqGoT1AlOdSl9/Yrl27MHjwYMhkMiiVShw9epSzU6Doj7KyMvzwww9Yvnw5WJaFQqFocM+QPnjllVcwduxYXL9+Hba2tvj33385Sw5D9Sbz9/fH999/jwULFiAlJUUvMZibm3PGo507d8a1a9eQnJyM5OTkZ1zbgar3edSoUZg1axZOnz6t9fg8PDyQlpYGHo+n9bUolHqj5wSM8gJw8+ZNsmvXLq31/tQmVU+I4cjVGxo7duwgUqmUbNq0iZSXl5Ply5cTT09PbrzaEHV0/P39yebNm4m/vz8BqsbEe/ToQX744QeSmJhIEhISyOeff046duxoMPEHBASQzZs3E29vb73Hon4YGxuT1157jUydOpVs2bKFxMfHkyFDhnCKzgEBASQxMZF4eHjoJJ5OnToRuVyu7z8JCuUZaAWIYtBcvnwZ3t7eSEhIQGBgIMaMGYOCggKcOHECQO0q1S8zW7ZswZdffonExET07du32jG5XI7ExET89NNPSE9Ph1KpNIjKUM+ePfHtt99i3rx5SE9Pf+a4UChEt27d4O/vDx8fH5SXl3Nqyjk5OXpRhO7RowfGjBmDOXPm4NSpUzpfvz6IxWJ4eHjA398f3bt3h1wuh5GRETZs2IDff/9d6+9bx44dkZ2drTUlZwqlKdAEiGLQ1CZVX1FRAYVCYTBy9YbEhQsXcOvWLbzxxht1vk6hUGDnzp2Ij49HSkqKzt3U1ahHsGfOnIkzZ8489/V8Ph+dO3dGQEAAfHx8AAApKSlISkrC2bNnoVQqtR0yl7DNnj0bmZmZWl9PEwQEBGDcuHHIzs6Gk5MTCCGclcnZs2c1bmXi6OiI8+fPQyQSafS8FIqmoAkQpVmRkJCA+Ph4nDt3DhkZGQgMDISNjQ0KCgoQGBiIFStWoF27dvoOs9mhUqmwe/duLFy4ECdOnNCK1kxNBAcH47PPPkNsbCzOnTvX4O9Xa+b4+/vDz88PQqGQ08w5ffq0VpK6wMBAjBw5Umf9M5rA29sbP/zwA+bPn4/U1FSwLAtXV1f4+fnB39+f0xpKTk5GZmYmKioqmrSera0tLl68CIlEoqGfgELRPDQBohgE/fv3x5EjR555PiYmBqNHjwYAVFZWws3NDePHj8eoUaOwceNGxMfHIz4+HpaWlhg7diwUCgX27dun4+hfLAgh2L9/PxYsWICjR4+ivLxcK+u89957+PjjjxEVFYWLFy82+XwMw6Bjx46c8KKJiQmXDGVkZDT5og4Ar7/+Or755hvMmDEDWVlZTT6fLujevTt+/PHHOpu027dvzyVDlpaWyMzMRHJyMtLS0lBSUtKg9Vq1aoW8vDxIpVJNhE+haA2aAFEMgvooUU+aNAn79+9HWlpajT0FT6pUP6leTWk8hBAcO3YM8+bNw6FDh1BaWqqR83744Yfo27cvIiMjcfnyZY2c82kcHR25ZMjKygoZGRlISkpCenp6o34O9VZdXFwczp49q4WINY+XlxcmTpyIRYsWISkpqV7f07ZtW66i1q5dO2RnZyMpKQmpqal4+PBhnd9rbW2NvLy8l74Pj9I8oAkQpVnwPKl6QP9y9S866p6R2bNnY//+/SguLm7UeQYPHoy3334b4eHhyM/P13CUNWNra8slQ23btsWZM2eQnJyMlJQUFBUVPff733rrLQwfPhwxMTGN2qrTB+7u7pg8eTKWLFnCDQ00FGtra86Sw9nZGRcvXkRycjJOnjyJe/fuVXttixYtcPnyZZiammoifApF69AEiGLwXLlyBX5+fliwYAGGDBnCPT9hwgT4+fnho48+AgAcPHgQQUFBKCoqouV3HZCRkYE5c+Zg37599fL1AoDPP/8cPXv2RFhYGAoKCrQcYc20bNmSS4bUjbpJSUlITk5GYWHhM68PCgrC559/jpiYGJ34ZGmCbt26YcqUKVi6dCmOHz+ukXOamZnBx8cHPj4+mD9/PszNzSGTyXDx4kWYmpoiLy8PLVq00MhaFIpO0PHYPYXSIGqTqlepVHWqVFN0y7lz58jnn39OLCwsatWDcXNzI6+99hpp2bKl3rVy1A9LS0vy7rvvktjYWLJjxw4SFxdXTU05ODhYpw7pmnh07dqVJCYmkp49e2ptDalUSjp06EBEIhEBqvS3pkyZQlJTU3VmdVGbBtjZs2dJ9+7diZmZGfnxxx8NynqDYljQBIhi0NQlVU8IoXL1BsilS5fI119/Xc2SwcTEhJiamhJzc3O9Jwi1PczMzEhQUBCJiIgg27dvJytWrCBbt27VqreXph+dO3cmiYmJJDAwUCfrGRsbk7y8PLJjxw4yZMgQYmJiQmxtbUlsbKzWP2f+/v5kz549pLCwkBQWFpLHjx+T8vJyYm9vT0aMGEHy8vJInz59yOrVq7UeC6V5QrfAKBSK1rhy5QqCg4Nx5coVjevMaJOBAwfiww8/xOXLl9GhQwcUFBRwlhzXr1/Xd3g10qlTJ4SEhGDFihX466+/tL6eVCpFTk5ONdmJyspKHD58GI8fP+a2prVBbRpgu3btwvDhw3Hz5k1IpVKcOXMGo0aN0tg2IOXFgq/vACiU5kJ2djaGDRuGvLw8fPXVV5g9ezYYhtF3WAZLZWUlJk6cCJFIhIKCAiiVSsybNw9btmzh/KkMQYX6afr164f+/ftj+vTp3Dh39+7d4e/vj/fffx/37t3jkiFtTbA1FDc3N0yfPh0///yzTpIfsViMs2fPPqO5JRQK0bt3b62vn5WVBUII3N3dq2mAnTlzBn5+flwPYNeuXZtN3xZF99AKEIVSDyoqKuDi4oKgoCBMnDgRY8eOxcCBAzFs2DB9h2aQqFQq9OvXD7dv38b//ve/Z5pj7927hwULFmDTpk24du0aAMNIhgYMGID3338fERERNSY3IpEInp6enLVEUVERNxV16dIlvcTv4uKCsLAwrF69GgcPHtTqWgzDQCgUIisrCx07dtTqWnVRmwaYm5sbysvLsXTpUu61VlZWuHTpEszNzfUWL8UwoQkQhVIPaGm94WzatAl9+vSBmZlZna97+PAhFi9ejF9++QV5eXkA9JMMffDBB+jXrx/Cw8Pr5TwvEAiq+ZNVVlZy/mTnz5/XiT9Zx44dER4ejnXr1mH//v1aXYthGPD5fGRmZqJTp05aXauhqDXAxo4dC4ZhMH/+fO6Yra0tkpOT0aZNGz1GSDFEaAJEodSDyMhIpKSkYO/evQAAQghatGiBBw8e6DmyF4uioiIsW7YMa9euxYULF0AI0UkypBZmDAsL4ypSDYHH46Fz586cgCDDMJzPVlZWllb6nzp06ICIiAhs2LBBJ+rnfD4fqamp8PDw0PpaDUWtATZz5kxkZ2fjl19+4Y6ZmZkhNzcXVlZWeoyQYoiw+g6AQmkOPH78GA4ODtzXDMOAx+PVqBtDaTwymQyTJk3C+fPnUVRUhIULF6Jz585cr5U2eq4+/vhjvPvuuwgNDW1U8gMASqUSZ86cQUJCAoYPH45Zs2ahvLwc3333HdatW4dx48bB19cXQqFQIzE7OTkhPDwcGzdu1Enyw+PxcPLkSYNJfiZMmICtW7dyX6elpYFlWXTp0gXJycnc89euXUNFRQUsLCz0ESbFwKEVIAqlHkyePBlyuZyW1vVERUUF1q5dixUrVuD06dNQqVQaqQwNGjQIQUFBCAsL08p0F8MwaN++PQICAuDv7w9TU1NkZGTg5MmTOHXqVKN81hwdHREVFYXNmzdj9+7dGo/5SRiGAcuyOHr0KHr06KHVtRrC+vXrER0djVWrVkGhUGDUqFEICAjA8uXL0bp1a8ydOxdDhw7FyJEjUVBQgD/++EPfIVMMEJoAUSj1YNasWbS0biDI5XJs2rQJy5YtQ3p6OpRKZaOSoSFDhqBXr14IDQ3lptK0jYODA6dCbWNjg8zMTCQlJdXbdNTBwQFRUVHYtm0bfv/9d63GyjAMGIbBwYMH8frrr2t1rcYwdepUJCQkQCaTYcCAAYiLi4ORkRF27dqFwYMHQyaTQalU4ujRowbXs0QxDGgCRKHUg8OHD2PEiBHIzc0FUFVad3V1RXFxMXg8np6je3lRKBTYsWMH4uPjkZKSUu9em08//RRvvPEGQkND9WbJ0bZtW86BvV27djh79iySkpKQkpKCx48fP/N6e3t7REVFYefOndi1a5dWY1NvNe7btw9BQUFaXUsbFBQUID09HQEBAfQGhVIrNAGiUOqBQqGgpXUDR6VS4ffff8fixYtx4sQJVFZW1vi6Tp06wdHREadOncKtW7d0HGXN2NjYcMlQhw4dqvmTPXjwAHZ2doiKisJvv/2GnTt3aj0ehmHw22+/oW/fvlpfi0LRFzQBolDqCS2tNx9UKhX279+PBQsW4NixY1yvjaWlJSorKyESiXD37l09R1kzLVq04JIhV1dX5Ofno1WrVvjf//6HtWvX6iSG7du344MPPtDJWhSKvqAJEIXSAGhpvflBCMGRI0fw5Zdf4tq1a3oXW2wIrq6uCA0NxaNHj2BlZYX8/HxOhVpbW3cbN27E4MGDtXJuCsWQoGPwFEoDaNOmDfr166fT5Oe3336Do6Mj+Hw+fH19kZOTAwAYM2YM16iqnjai1MzOnTuhVCqRm5uLkydP4v3336/mIWWItGnTBpMmTcLvv/+Ob7/9Fl988QV2796Njh07YsGCBVi8eDEGDRoEe3t7ja25Zs0amvxQXhpoBYhCMWAuX74Mb29vJCQkIDAwEGPGjEFBQQFOnDiBgIAAhISEICAgAECVVotMJtNzxIaFSqXC6NGjsW/fPvz111/PJAunTp3C3LlzsW/fPjx69Eg/QdZA69atERMTg4MHD2LTpk3PHBeLxZw/mZeXFx48eMCpUKsb9RvKsmXLMHLkyKaGTqE0G2gCRKEYMLt378bNmze5C9Nff/2F3r17o6SkpEY3bEp1CCGIi4vDp59+Cjs7uzpfe+7cOcyePRt//PGHXgUuW7VqhZiYGPz111/YsGHDc18vFArh4eEBf39/eHt7o7S0lEuGLly4UC9LjkWLFmHs2LGaCJ9CaTbQBIhCaUYkJCQgPj4ev/zyCwIDA2FjY1PNDftpd25K48jNzcXs2bPx22+/6bRZumXLloiJicHff/+NdevWNfj7+Xw+unXrBj8/P/j6+kKpVHLJ0Llz56BUKp/5ntmzZ2PixImaCJ9CaVbQBIhCaSZUVlbCzc0N48ePh5mZWY1u2LqwRXjZyM/Px5w5c7Bjxw78888/WlvHxsYGMTExOHnyJNasWdPk87Esi06dOnH+ZCtXrkRhYSHkcjmuXLkCQgiio6MREhKigegplOYHTYAolGbCpEmTsH//fqSlpUEgEFQ7pnbDLiwshImJiZ4ifPG5desW5s2bhy1btnBTWJqw5LC2tkZMTAxSUlKwatUqTYRaDYZh0K5dOxgbG+PatWsoKSlBp06dEBkZieDgYEilUo2vWRNr167FsGHDnnl+zZo1OHXqFJYsWcI95+TkhLy8PJ3ERXk5oQkQhdIMOHDgAD744AMkJyfDzc3tmeNqN+wLFy7A2dlZDxG+fNy9excLFixAYmIiZ6LamGTIysoKMTExSEtLw88//6yFSJ/l008/Rdu2bbFjxw7cvHkTwcHB+OCDD/Dhhx8+k1xrksrKSpSWlnJfFxcXw8PDAykpKfj0009pUz9Fp9AEiEIxcK5cuQI/Pz8sWLAAQ4YMAVDlhu3n54ePPvoIAHDw4EEEBQWhqKhIZ3fzlP/n4cOHWLRoEX755RdcvnwZQP2SIUtLS8TExCAjIwMrVqzQRagYM2YMFi9eDKCqSTw7Oxs7duzAsWPHcODAAZ1au8TFxSE/Px9Lly6lTf0UnUMTIArFgCkrK4OXlxdeeeWVak70O3bsQExMzDNu2NrYPqE0jMePH+Onn37CunXrcPHiRRBCakyGzMzM0LVrVzg7O+Pnn3/WiUDjN998g+XLl2t9nfpQXl4OOzs7pKSk4MGDB7Spn6JzqBAi5aVk7dq1eO211/QdxnP53//+h5ycHKxcuRIymYx7BAYGYuDAgejXrx+++OILvP3229xdPUW/mJiYYMqUKcjJyUFRUREWLFiATp06cQajDMNALBaDz+fj7t27WLlypU6Sn6FDhxpM8gMAmzZtgp+fH+zt7ZGTk4NOnTohMTER58+fh0AgwIgRI/QdIuUFh1aAKC8la9euxdq1a3HkyBF9h0J5SSgvL8fatWuxdOlSZGdn63TtTz75BImJiTpd83n4+PhwTdhPQ5v6KbqAVoAoFEq9qM16Izs7G97e3jA3N8fEiRObldeWLhGLxejfvz/kcjk+++wzrFq1Cj4+PlzPjbpCpGn69+9fo5q0PsnLy0NeXh569epV43EzMzOoVCrcvn1bx5FRXiZoAkR5aamsrOQ8ofr06YN///1X3yEZNKdOncKePXtQWFiIwsJCZGZmoqKiAn379oWXlxfS09Nx/vx5nTmWNzfu3LmDN954Az4+PlizZg2GDx+OlJQUlJeXY9OmTQgICACfz9fomn369MHOnTu1llw1lq1bt+Ldd9/lJs4mTJiArVu3csfT0tLAsixsbW31FSLlJYAmQJSXlqSkJHh4eCArKwssy2L06NH6DslgUSgUyM7ORs+ePWFmZgYzMzPIZDLOQ2v+/PlwcnJCXFwcbcSuhUOHDsHLywtr1qypNmnF5/MxaNAgHD9+HOXl5fj111/x2muvQSgUNmm9N998E7t37za45AcA/vzzT7z++uvc1+7u7pg+fTqOHTuGw4cPY8yYMfjiiy/oRCNFuxAK5SVkzZo1pFWrVkSpVBJCCElLSyN8Pp8oFAo9R2aYnDp1ihgbGxMnJyciFotJUFAQyc/PJxERESQ4OJh7nUqlIubm5nqM1LBRqVT1fq1SqSR79+4lb731FhGJRARAvR+vvvpqg9bSJaWlpUQoFJKcnJxqz0+ZMoWYmZkRW1tbMnbsWFJcXKynCCkvC7QCRHlpsbOzA8tW/Qm0a9cOCoUC9+7d03NUhkltUzqPHz+Gg4MD9zqGYcDj8fRqJmrINKQaw7IsgoODsX//fpSVleHw4cN45513IJFI6vw+X19fHDlyxCArPwAgkUhQUVEBFxeXas/PmDEDhYWFuH79OhYtWgQjIyM9RUh5WaAJEOWl5ebNm1zDbkFBAXg8Hlq0aKHnqAyTIUOGIDk5Gd7e3nBwcMCSJUuwf/9+qFQqiESiaq8Vi8XV1H4pTYdhGLz++uvYvXs3SkpKcOLECQwYMOAZ0UBPT0+cOHGCS+wpFErt0L8SykvLzZs3MWfOHFy7dg1RUVF49913Nd6E+qKintJp2bLlM27pRUVFTe5fodQOwzAICAjAzp07UVRUhPT0dPTu3Rvt27dHSkqKTpWcKZTmDE2AKC8t3t7eOH78OLp164bS0lIsW7ZM3yEZLLVN6XTp0gXJycnc89euXUNFRQUsLCz0EeZLiZeXF/bt24fc3FyawFMoDYAKIVIolOeyfv16REdHP2O9sXz5crRu3Rpz587F0KFDMXLkSBQUFOCPP/7Qd8gUCoVSJzQBolAo9WLq1KlISEiATCbDgAEDEBcXByMjI+zatQuDBw+GTCaDUqnE0aNH0alTJ32HS6FQKHVCEyAKhdJkCgoKkJ6ejoCAAFhZWek7HAqFQnkutAeIQqE0mTZt2qBfv35aT37Wrl1bzY5D/Vi7dm2tVh0UCoVSE7QCRKFQmg2VlZXVRuyLi4vh4eGBlJQUfPrppwgJCUFAQAAAgMfjQSaT6StUCoVi4NAEiEKhNFvi4uKQn5+PpUuXwsLCArdu3XpGG4dCoVBqgm6BUSiUZkl5eTkWLVqEqVOnIisrC4QQuLu7QyKRoHfv3rh+/bq+Q2z23L9/Hw4ODrh27Rr3XHZ2Nry9vWFubo6JEyfiyXvouo5RKIYGTYAoFEqzZNOmTfDz84O9vX2tVh2UxnPv3j28++671ZKfiooK9O3bF15eXkhPT8f58+exdu3a5x6jUAwRugVGoVCaJT4+PoiMjERwcPAzx/Lz8+Ho6IjCwkKYmJjoIbrmT69evdC3b1+MGzcOV69ehb29PXbt2oXhw4fj5s2bkEqlOHPmDEaNGoXjx4/XeYxCMURoBYhCoTQ78vLykJeXh169etV4XG3Vcfv2bR1H9uKwYsUKfP/999WeO3PmDPz8/CCVSgEAXbt2xfnz5597jEIxRGgCRKFQmh1bt27Fu+++C4FAAKB2qw5bW1t9hdjscXR0fOa5x48fw8HBgfuaYRjweDwUFhbWeYxCMUSocQyFQml2/Pnnnxg2bBj3tbu7O6ZPn46WLVtCoVBgzJgx+OKLL7hqBEUz8Pl8iESias+JxWKUlpbWeczc3FyXYVIo9YImQBQKpVlRVlaGlJQUrFixgntu6NChyMnJQb9+/apZdVA0i4WFBbKzs6s9V1RUBKFQWOcxCsUQoU3QFAqFQqkVhmG4JujDhw9jxIgRyM3NBQBcu3YNrq6uKC4uxtGjR2s9xuPx9PkjUCg1QnuAKBQKhVIvevbsiUePHmH9+vUAgJkzZ6JXr17g8Xh1HqNQDBGaAFEoFEo9edmFAfl8PlasWIGRI0fCxsYG27dvx8yZM597jEIxRGgCRKFQKPXgZRUGJITA3t6e+7p///7Izc3FihUrOAHK+hyjUAwN2gNEoVAo9YAKA1IoLxa0AkShUCj1gAoDUigvFjQBolAolHpAhQEplBcLmgBRKBRKI2msMCCFQtE/NAGiUCiURmJhYYG7d+9We+5JYcDajlEoFP1DEyAKhUJpJN7e3khOTua+vnbtGioqKmBhYVHnMQqFon9oAkShUCiNhAoDUijNFzoGT6FQKA3gSWsIANi1axcGDx4MmUwGpVKJo0ePcvo3dR2jUCj6hSZAFAqF0kQKCgqQnp6OgIAAWFlZ1fsYhULRHzQBolAoFAqF8tJBe4AoFAqFQqG8dNAEiEKhUCgUyksHTYAoFAqFQqG8dNAEiEKhUCgUyksHTYAoFAqFQqG8dNAEiEKhUCgUyksHTYAoFAqFQqG8dNAEiEKhUCgUyksHTYAoFAqFQqG8dNAEiEKhUCgUyksHTYAoFAqFQqG8dNAEiEKhUCgUyksHTYAoFAqFQqG8dNAEiEKhUCgUyksHTYAoFAqFQqG8dPwfto6Uu/MRhs0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当w=[2], b=[8] 会有最小的cost:[2.87151515]\n"
     ]
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "from matplotlib.font_manager import fontManager\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "plt.figure(figsize=(7, 7))\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "ax.view_init(30, 30)    #视角\n",
    "ax.xaxis.set_pane_color((0, 0, 0))\n",
    "ax.yaxis.set_pane_color((0, 0, 0))\n",
    "ax.zaxis.set_pane_color((0, 0, 0))\n",
    "\n",
    "b_grid, w_grid = np.meshgrid(bs, ws)     # \n",
    "# https://wangyeming.github.io/2018/11/12/numpy-meshgrid/\n",
    "\n",
    "ax.plot_surface(w_grid, b_grid, costs, cmap=\"Spectral_r\", alpha=0.7)\n",
    "ax.plot_wireframe(w_grid, b_grid, costs, color=\"black\", alpha=0.1)\n",
    "\n",
    "ax.set_title(\"w b 对应的 cost\")\n",
    "ax.set_xlabel(\"w\")\n",
    "ax.set_ylabel(\"b\")\n",
    "ax.set_zlabel(\"cost\")\n",
    "\n",
    "w_index, b_index = np.where(costs == np.min(costs))\n",
    "ax.scatter(ws[w_index], bs[b_index], costs[w_index, b_index], color=\"red\", s=40)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(f\"当w={ws[w_index]}, b={bs[b_index]} 会有最小的cost:{costs[w_index, b_index]}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "id": "81a10ac2-2e17-4ed9-90df-1e5289c87b74",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent(x, y, w_init, b_init, learning_rate, cost_function, gradient_function, run_iter, p_iter=1000):\n",
    "  \n",
    "  c_hist = []\n",
    "  w_hist = []\n",
    "  b_hist = []\n",
    "  \n",
    "  w = w_init\n",
    "  b = b_init\n",
    "\n",
    "  for i in range(run_iter):\n",
    "    w_gradient, b_gradient = gradient_function(x, y, w, b)\n",
    "\n",
    "    w = w - w_gradient*learning_rate\n",
    "    b = b - b_gradient*learning_rate\n",
    "    cost = cost_function(x, y, w, b)\n",
    "\n",
    "    w_hist.append(w)\n",
    "    b_hist.append(b)\n",
    "    c_hist.append(cost)\n",
    "\n",
    "    if i%p_iter == 0:\n",
    "      print(f\"Iteration {i:5} : Cost {cost: .4e}, w: {w: .2e}, b: {b: .2e}, w_gradient: {w_gradient: .2e}, b_gradient: {b_gradient: .2e}\")\n",
    "\n",
    "  return w, b, w_hist, b_hist, c_hist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "id": "223c1b37-2a18-4588-8db4-416d9fce2833",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_gradient(x, y, w, b):\n",
    "  w_gradient = (x*(w*x+b -y)).mean()\n",
    "  b_gradient = (w*x+b -y).mean()\n",
    "  return w_gradient, b_gradient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "id": "c3c0326b-255f-4f69-8f17-d2987239bc50",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(595.3823484848485, 89.49848484848485)"
      ]
     },
     "execution_count": 239,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compute_gradient(x, y, 20, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 246,
   "id": "ef86d411-03d5-4368-bcbb-aed5dbc7a5b0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration     0 : Cost  3.5355e+02, w:  1.09e-01, b:  1.81e-02, w_gradient: -1.09e+02, b_gradient: -1.81e+01\n",
      "Iteration  1000 : Cost  8.8106e+00, w:  3.03e+00, b:  2.02e+00, w_gradient:  2.00e-01, b_gradient: -1.33e+00\n",
      "Iteration  2000 : Cost  6.0039e+00, w:  2.85e+00, b:  3.18e+00, w_gradient:  1.53e-01, b_gradient: -1.02e+00\n",
      "Iteration  3000 : Cost  4.3582e+00, w:  2.72e+00, b:  4.08e+00, w_gradient:  1.17e-01, b_gradient: -7.80e-01\n",
      "Iteration  4000 : Cost  3.3933e+00, w:  2.62e+00, b:  4.76e+00, w_gradient:  8.97e-02, b_gradient: -5.98e-01\n",
      "Iteration  5000 : Cost  2.8275e+00, w:  2.54e+00, b:  5.29e+00, w_gradient:  6.87e-02, b_gradient: -4.58e-01\n",
      "Iteration  6000 : Cost  2.4958e+00, w:  2.48e+00, b:  5.69e+00, w_gradient:  5.26e-02, b_gradient: -3.50e-01\n",
      "Iteration  7000 : Cost  2.3013e+00, w:  2.43e+00, b:  6.00e+00, w_gradient:  4.03e-02, b_gradient: -2.68e-01\n",
      "Iteration  8000 : Cost  2.1873e+00, w:  2.40e+00, b:  6.23e+00, w_gradient:  3.09e-02, b_gradient: -2.05e-01\n",
      "Iteration  9000 : Cost  2.1204e+00, w:  2.37e+00, b:  6.41e+00, w_gradient:  2.36e-02, b_gradient: -1.57e-01\n",
      "Iteration 10000 : Cost  2.0812e+00, w:  2.35e+00, b:  6.55e+00, w_gradient:  1.81e-02, b_gradient: -1.20e-01\n",
      "Iteration 11000 : Cost  2.0582e+00, w:  2.33e+00, b:  6.66e+00, w_gradient:  1.39e-02, b_gradient: -9.22e-02\n",
      "Iteration 12000 : Cost  2.0447e+00, w:  2.32e+00, b:  6.74e+00, w_gradient:  1.06e-02, b_gradient: -7.06e-02\n",
      "Iteration 13000 : Cost  2.0368e+00, w:  2.31e+00, b:  6.80e+00, w_gradient:  8.12e-03, b_gradient: -5.41e-02\n",
      "Iteration 14000 : Cost  2.0322e+00, w:  2.30e+00, b:  6.85e+00, w_gradient:  6.22e-03, b_gradient: -4.14e-02\n",
      "Iteration 15000 : Cost  2.0295e+00, w:  2.30e+00, b:  6.88e+00, w_gradient:  4.76e-03, b_gradient: -3.17e-02\n",
      "Iteration 16000 : Cost  2.0279e+00, w:  2.29e+00, b:  6.91e+00, w_gradient:  3.65e-03, b_gradient: -2.43e-02\n",
      "Iteration 17000 : Cost  2.0269e+00, w:  2.29e+00, b:  6.93e+00, w_gradient:  2.79e-03, b_gradient: -1.86e-02\n",
      "Iteration 18000 : Cost  2.0264e+00, w:  2.29e+00, b:  6.95e+00, w_gradient:  2.14e-03, b_gradient: -1.42e-02\n",
      "Iteration 19000 : Cost  2.0261e+00, w:  2.29e+00, b:  6.96e+00, w_gradient:  1.64e-03, b_gradient: -1.09e-02\n",
      "Iteration 20000 : Cost  2.0259e+00, w:  2.29e+00, b:  6.97e+00, w_gradient:  1.25e-03, b_gradient: -8.35e-03\n",
      "Iteration 21000 : Cost  2.0258e+00, w:  2.28e+00, b:  6.98e+00, w_gradient:  9.60e-04, b_gradient: -6.39e-03\n",
      "Iteration 22000 : Cost  2.0257e+00, w:  2.28e+00, b:  6.98e+00, w_gradient:  7.35e-04, b_gradient: -4.90e-03\n",
      "Iteration 23000 : Cost  2.0257e+00, w:  2.28e+00, b:  6.99e+00, w_gradient:  5.63e-04, b_gradient: -3.75e-03\n",
      "Iteration 24000 : Cost  2.0256e+00, w:  2.28e+00, b:  6.99e+00, w_gradient:  4.31e-04, b_gradient: -2.87e-03\n",
      "Iteration 25000 : Cost  2.0256e+00, w:  2.28e+00, b:  6.99e+00, w_gradient:  3.30e-04, b_gradient: -2.20e-03\n",
      "Iteration 26000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.53e-04, b_gradient: -1.68e-03\n",
      "Iteration 27000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.94e-04, b_gradient: -1.29e-03\n",
      "Iteration 28000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.48e-04, b_gradient: -9.87e-04\n",
      "Iteration 29000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.13e-04, b_gradient: -7.56e-04\n",
      "Iteration 30000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  8.69e-05, b_gradient: -5.79e-04\n",
      "Iteration 31000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  6.65e-05, b_gradient: -4.43e-04\n",
      "Iteration 32000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  5.09e-05, b_gradient: -3.39e-04\n",
      "Iteration 33000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.90e-05, b_gradient: -2.60e-04\n",
      "Iteration 34000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.99e-05, b_gradient: -1.99e-04\n",
      "Iteration 35000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.29e-05, b_gradient: -1.52e-04\n",
      "Iteration 36000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.75e-05, b_gradient: -1.17e-04\n",
      "Iteration 37000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.34e-05, b_gradient: -8.93e-05\n",
      "Iteration 38000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.03e-05, b_gradient: -6.84e-05\n",
      "Iteration 39000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  7.86e-06, b_gradient: -5.24e-05\n",
      "Iteration 40000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  6.02e-06, b_gradient: -4.01e-05\n",
      "Iteration 41000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.61e-06, b_gradient: -3.07e-05\n",
      "Iteration 42000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.53e-06, b_gradient: -2.35e-05\n",
      "Iteration 43000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.70e-06, b_gradient: -1.80e-05\n",
      "Iteration 44000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.07e-06, b_gradient: -1.38e-05\n",
      "Iteration 45000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.58e-06, b_gradient: -1.06e-05\n",
      "Iteration 46000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.21e-06, b_gradient: -8.08e-06\n",
      "Iteration 47000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  9.29e-07, b_gradient: -6.19e-06\n",
      "Iteration 48000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  7.12e-07, b_gradient: -4.74e-06\n",
      "Iteration 49000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  5.45e-07, b_gradient: -3.63e-06\n",
      "Iteration 50000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.17e-07, b_gradient: -2.78e-06\n",
      "Iteration 51000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.19e-07, b_gradient: -2.13e-06\n",
      "Iteration 52000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.45e-07, b_gradient: -1.63e-06\n",
      "Iteration 53000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.87e-07, b_gradient: -1.25e-06\n",
      "Iteration 54000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.43e-07, b_gradient: -9.55e-07\n",
      "Iteration 55000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.10e-07, b_gradient: -7.31e-07\n",
      "Iteration 56000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  8.41e-08, b_gradient: -5.60e-07\n",
      "Iteration 57000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  6.44e-08, b_gradient: -4.29e-07\n",
      "Iteration 58000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.93e-08, b_gradient: -3.28e-07\n",
      "Iteration 59000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.78e-08, b_gradient: -2.51e-07\n",
      "Iteration 60000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.89e-08, b_gradient: -1.93e-07\n",
      "Iteration 61000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-08, b_gradient: -1.47e-07\n",
      "Iteration 62000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.70e-08, b_gradient: -1.13e-07\n",
      "Iteration 63000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.30e-08, b_gradient: -8.64e-08\n",
      "Iteration 64000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  9.94e-09, b_gradient: -6.62e-08\n",
      "Iteration 65000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  7.61e-09, b_gradient: -5.07e-08\n",
      "Iteration 66000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  5.83e-09, b_gradient: -3.88e-08\n",
      "Iteration 67000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.46e-09, b_gradient: -2.97e-08\n",
      "Iteration 68000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.42e-09, b_gradient: -2.28e-08\n",
      "Iteration 69000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.62e-09, b_gradient: -1.74e-08\n",
      "Iteration 70000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.00e-09, b_gradient: -1.33e-08\n",
      "Iteration 71000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.53e-09, b_gradient: -1.02e-08\n",
      "Iteration 72000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.17e-09, b_gradient: -7.82e-09\n",
      "Iteration 73000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  9.00e-10, b_gradient: -5.99e-09\n",
      "Iteration 74000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  6.89e-10, b_gradient: -4.59e-09\n",
      "Iteration 75000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  5.27e-10, b_gradient: -3.51e-09\n",
      "Iteration 76000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.04e-10, b_gradient: -2.69e-09\n",
      "Iteration 77000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.09e-10, b_gradient: -2.06e-09\n",
      "Iteration 78000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.37e-10, b_gradient: -1.58e-09\n",
      "Iteration 79000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.81e-10, b_gradient: -1.21e-09\n",
      "Iteration 80000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.39e-10, b_gradient: -9.25e-10\n",
      "Iteration 81000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.06e-10, b_gradient: -7.08e-10\n",
      "Iteration 82000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  8.14e-11, b_gradient: -5.42e-10\n",
      "Iteration 83000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  6.24e-11, b_gradient: -4.15e-10\n",
      "Iteration 84000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.77e-11, b_gradient: -3.18e-10\n",
      "Iteration 85000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.66e-11, b_gradient: -2.43e-10\n",
      "Iteration 86000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.81e-11, b_gradient: -1.86e-10\n",
      "Iteration 87000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.15e-11, b_gradient: -1.43e-10\n",
      "Iteration 88000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.65e-11, b_gradient: -1.09e-10\n",
      "Iteration 89000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.27e-11, b_gradient: -8.37e-11\n",
      "Iteration 90000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  9.65e-12, b_gradient: -6.41e-11\n",
      "Iteration 91000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  7.33e-12, b_gradient: -4.91e-11\n",
      "Iteration 92000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  5.62e-12, b_gradient: -3.76e-11\n",
      "Iteration 93000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  4.29e-12, b_gradient: -2.88e-11\n",
      "Iteration 94000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  3.33e-12, b_gradient: -2.20e-11\n",
      "Iteration 95000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.45e-12, b_gradient: -1.69e-11\n",
      "Iteration 96000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.00e-12, b_gradient: -1.29e-11\n",
      "Iteration 97000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.56e-12, b_gradient: -9.90e-12\n",
      "Iteration 98000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.12e-12, b_gradient: -7.59e-12\n",
      "Iteration 99000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  1.11e-12, b_gradient: -5.77e-12\n",
      "Iteration 100000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  6.66e-13, b_gradient: -4.47e-12\n",
      "Iteration 101000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  6.70e-13, b_gradient: -3.40e-12\n",
      "Iteration 102000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.29e-13, b_gradient: -2.67e-12\n",
      "Iteration 103000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.27e-13, b_gradient: -2.03e-12\n",
      "Iteration 104000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.28e-13, b_gradient: -1.55e-12\n",
      "Iteration 105000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.08e-13, b_gradient: -1.20e-12\n",
      "Iteration 106000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.19e-13, b_gradient: -9.57e-13\n",
      "Iteration 107000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.17e-13, b_gradient: -7.14e-13\n",
      "Iteration 108000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.19e-13, b_gradient: -4.72e-13\n",
      "Iteration 109000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 110000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 111000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 112000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
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      "Iteration 120000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
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      "Iteration 128000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
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      "Iteration 140000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
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      "Iteration 180000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 181000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 182000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
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      "Iteration 184000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 185000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 186000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 187000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 188000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 189000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 190000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 191000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 192000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 193000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 194000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 195000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 196000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 197000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 198000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n",
      "Iteration 199000 : Cost  2.0256e+00, w:  2.28e+00, b:  7.00e+00, w_gradient:  2.21e-13, b_gradient: -4.43e-13\n"
     ]
    }
   ],
   "source": [
    "#参数\n",
    "w_init = 0\n",
    "b_init = 0\n",
    "learning_rate = 1.0e-3\n",
    "run_iter = 200000\n",
    "\n",
    "w_final, b_final, w_hist, b_hist, c_hist = gradient_descent(x, y, w_init, b_init, learning_rate, compute_cost, compute_gradient, run_iter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 248,
   "id": "c6870f4d-e25b-4284-96d0-1300d854c3b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.plot(np.arange(0, 100), c_hist[:100])\n",
    "plt.title(\"iteration vs cost\")\n",
    "plt.xlabel(\"iteration\")\n",
    "plt.ylabel(\"cost\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66f35be9-ceed-4738-81ce-212be27adf6c",
   "metadata": {},
   "source": [
    "# 作业"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59f37c5d-71fe-4e86-855a-b034aa62da38",
   "metadata": {},
   "source": [
    "## 总结：\n",
    "\n",
    "梯度下降是一种优化目标函数的迭代方法，常用于机器学习和深度学习。以线性回归为例，通过最小化均方误差目标函数，不断更新模型参数w和b，沿着梯度负方向调整，直至找到误差最小的参数值。此过程涉及梯度计算、学习率设置及参数更新。假设我们使用均方误差作为目标函数，即：L(w, b) = 1/N * Σ(yi - (wxi + b))^2，其中N表示样本数量，yi表示实际值，wxi + b表示预测值。\n",
    "\n",
    "为了最小化这个目标函数，我们可以使用梯度下降方法。梯度下降的基本思路是计算目标函数L(w, b)关于参数w和b的梯度，然后沿着梯度的负方向更新参数。具体步骤如下：\n",
    "\n",
    "* 1. 初始化参数w和b的值，例如可以将它们都设为0。\n",
    "\n",
    "* 2. 计算目标函数L(w, b)关于参数w和b的梯度。这里我们需要求偏导数。对于w，有：∂L(w, b)/∂w = -2/N * Σxi(yi - (wxi + b))；对于b，有：∂L(w, b)/∂b = -2/N * Σ(yi - (wxi + b))。\n",
    "\n",
    "* 3. 按照梯度的负方向更新参数。这里我们需要设置一个学习率α（通常设置为一个很小的正数），用来控制梯度下降的步长。更新公式为：w_new = w - α * ∂L(w, b)/∂w；b_new = b - α * ∂L(w, b)/∂b。\n",
    "\n",
    "* 4. 重复步骤2和步骤3，直到目标函数L(w, b)的值收敛，或者达到预设的迭代次数。\n",
    "通过梯度下降方法，我们可以找到一组参数w和b，使得线性回归模型的预测误差最小。\n",
    "\n",
    "\n",
    "332"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "4b2a5fea-228c-4bcf-af87-a464f2c702c8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean Squared Error: 0.7991533647344373\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope of the fitted line: [2.72308093]\n",
      "Intercept of the fitted line: [4.22167818]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "np.random.seed(0) \n",
    "X = 2 * np.random.rand(200, 1) \n",
    "y = 4 + 3 * X + np.random.randn(200, 1)  \n",
    "\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n",
    "\n",
    "\n",
    "model = LinearRegression()\n",
    "model.fit(X_train, y_train)\n",
    "\n",
    "\n",
    "y_pred = model.predict(X_test)\n",
    "\n",
    "\n",
    "mse = mean_squared_error(y_test, y_pred)\n",
    "print(f\"Mean Squared Error: {mse}\")\n",
    "\n",
    "\n",
    "plt.scatter(X_test, y_test, color='black', label='Data')\n",
    "plt.plot(X_test, y_pred, color='blue', linewidth=3, label='Fitted line')\n",
    "plt.xlabel('X')\n",
    "plt.ylabel('y')\n",
    "plt.title('Linear Regression with Gaussian Noise')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.scatter(y_test, y_pred)\n",
    "plt.plot([y_test.min(), y_test.max()], [y_test.min(), y_test.max()], 'k--')\n",
    "plt.xlabel('真实值')\n",
    "plt.ylabel('预测值')\n",
    "plt.show()\n",
    "print(f\"Slope of the fitted line: {model.coef_[0]}\")\n",
    "print(f\"Intercept of the fitted line: {model.intercept_}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6174a513-b989-4de4-a844-7b28f9d93701",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
